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Finding the Fourth Proportional to 30, 45.02 and 15.75

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Solution

The fourth proportional to 30, 45.02 and 15.75 is: 23.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 45.02 = 15.75 : x
  2. Step 2: Convert to fraction form
    30/45.02 = 15.75/x
  3. Step 3: Cross multiply
    30x = 45.02 × 15.75
  4. Step 4: Simplify right side
    30x = 708.99
  5. Step 5: Solve for x
    x = 708.99/30
  6. Step 6: Final answer
    x = 23.63

Related Problems

Find fourth proportional to 15, 22.51 and 7.88
Half scale
Find fourth proportional to 60, 90.03 and 31.50
Double scale
Find fourth proportional to 31, 46.52 and 16.75
Similar ratio
Find fourth proportional to 45, 67.52 and 23.63
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.