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Finding the Fourth Proportional to 61.44, 92.32 and 55.52

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Solution

The fourth proportional to 61.44, 92.32 and 55.52 is: 83.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.44 : 92.32 = 55.52 : x
  2. Step 2: Convert to fraction form
    61.44/92.32 = 55.52/x
  3. Step 3: Cross multiply
    61.44x = 92.32 × 55.52
  4. Step 4: Simplify right side
    61.44x = 5,125.61
  5. Step 5: Solve for x
    x = 5,125.61/61.44
  6. Step 6: Final answer
    x = 83.42

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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.