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Finding the Fourth Proportional to 42.71, 64.03 and 36.29

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Solution

The fourth proportional to 42.71, 64.03 and 36.29 is: 54.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.71 : 64.03 = 36.29 : x
  2. Step 2: Convert to fraction form
    42.71/64.03 = 36.29/x
  3. Step 3: Cross multiply
    42.71x = 64.03 × 36.29
  4. Step 4: Simplify right side
    42.71x = 2,323.65
  5. Step 5: Solve for x
    x = 2,323.65/42.71
  6. Step 6: Final answer
    x = 54.41

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