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Finding the Fourth Proportional to 30.20, 41.49 and 24.73

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Solution

The fourth proportional to 30.20, 41.49 and 24.73 is: 33.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.20 : 41.49 = 24.73 : x
  2. Step 2: Convert to fraction form
    30.20/41.49 = 24.73/x
  3. Step 3: Cross multiply
    30.20x = 41.49 × 24.73
  4. Step 4: Simplify right side
    30.20x = 1,026.05
  5. Step 5: Solve for x
    x = 1,026.05/30.20
  6. Step 6: Final answer
    x = 33.98

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Find fourth proportional to 15.10, 20.75 and 12.37
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.