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Finding the Fourth Proportional to 30, 45.02 and 16.49

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Solution

The fourth proportional to 30, 45.02 and 16.49 is: 24.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 45.02 = 16.49 : x
  2. Step 2: Convert to fraction form
    30/45.02 = 16.49/x
  3. Step 3: Cross multiply
    30x = 45.02 × 16.49
  4. Step 4: Simplify right side
    30x = 742.15
  5. Step 5: Solve for x
    x = 742.15/30
  6. Step 6: Final answer
    x = 24.74

Related Problems

Find fourth proportional to 15, 22.51 and 8.24
Half scale
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Double scale
Find fourth proportional to 31, 46.52 and 17.49
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.