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Finding the Fourth Proportional to 42.71, 63.77 and 35.11

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Solution

The fourth proportional to 42.71, 63.77 and 35.11 is: 52.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.71 : 63.77 = 35.11 : x
  2. Step 2: Convert to fraction form
    42.71/63.77 = 35.11/x
  3. Step 3: Cross multiply
    42.71x = 63.77 × 35.11
  4. Step 4: Simplify right side
    42.71x = 2,238.79
  5. Step 5: Solve for x
    x = 2,238.79/42.71
  6. Step 6: Final answer
    x = 52.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.