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Finding the Fourth Proportional to 92.31, 127.24 and 89.74

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Solution

The fourth proportional to 92.31, 127.24 and 89.74 is: 123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.31 : 127.24 = 89.74 : x
  2. Step 2: Convert to fraction form
    92.31/127.24 = 89.74/x
  3. Step 3: Cross multiply
    92.31x = 127.24 × 89.74
  4. Step 4: Simplify right side
    92.31x = 11,418.45
  5. Step 5: Solve for x
    x = 11,418.45/92.31
  6. Step 6: Final answer
    x = 123.70

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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.