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Finding the Fourth Proportional to 61.57, 92.72 and 54.42

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Solution

The fourth proportional to 61.57, 92.72 and 54.42 is: 81.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.57 : 92.72 = 54.42 : x
  2. Step 2: Convert to fraction form
    61.57/92.72 = 54.42/x
  3. Step 3: Cross multiply
    61.57x = 92.72 × 54.42
  4. Step 4: Simplify right side
    61.57x = 5,045.82
  5. Step 5: Solve for x
    x = 5,045.82/61.57
  6. Step 6: Final answer
    x = 81.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.