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Finding the Fourth Proportional to 92.43, 127.52 and 61.33

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Solution

The fourth proportional to 92.43, 127.52 and 61.33 is: 84.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.43 : 127.52 = 61.33 : x
  2. Step 2: Convert to fraction form
    92.43/127.52 = 61.33/x
  3. Step 3: Cross multiply
    92.43x = 127.52 × 61.33
  4. Step 4: Simplify right side
    92.43x = 7,820.80
  5. Step 5: Solve for x
    x = 7,820.80/92.43
  6. Step 6: Final answer
    x = 84.61

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Why These Related Problems?

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