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Finding the Fourth Proportional to 66.38, 99.54 and 38.90

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Solution

The fourth proportional to 66.38, 99.54 and 38.90 is: 58.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.38 : 99.54 = 38.90 : x
  2. Step 2: Convert to fraction form
    66.38/99.54 = 38.90/x
  3. Step 3: Cross multiply
    66.38x = 99.54 × 38.90
  4. Step 4: Simplify right side
    66.38x = 3,871.61
  5. Step 5: Solve for x
    x = 3,871.61/66.38
  6. Step 6: Final answer
    x = 58.33

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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.