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Finding the Fourth Proportional to 42.71, 64.13 and 19.89

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Solution

The fourth proportional to 42.71, 64.13 and 19.89 is: 29.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.71 : 64.13 = 19.89 : x
  2. Step 2: Convert to fraction form
    42.71/64.13 = 19.89/x
  3. Step 3: Cross multiply
    42.71x = 64.13 × 19.89
  4. Step 4: Simplify right side
    42.71x = 1,275.45
  5. Step 5: Solve for x
    x = 1,275.45/42.71
  6. Step 6: Final answer
    x = 29.87

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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.