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Finding the Fourth Proportional to 92.52, 127.59 and 61.43

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Solution

The fourth proportional to 92.52, 127.59 and 61.43 is: 84.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.52 : 127.59 = 61.43 : x
  2. Step 2: Convert to fraction form
    92.52/127.59 = 61.43/x
  3. Step 3: Cross multiply
    92.52x = 127.59 × 61.43
  4. Step 4: Simplify right side
    92.52x = 7,837.22
  5. Step 5: Solve for x
    x = 7,837.22/92.52
  6. Step 6: Final answer
    x = 84.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.