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Finding the Fourth Proportional to 124.49, 171.75 and 82.97

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Solution

The fourth proportional to 124.49, 171.75 and 82.97 is: 114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.49 : 171.75 = 82.97 : x
  2. Step 2: Convert to fraction form
    124.49/171.75 = 82.97/x
  3. Step 3: Cross multiply
    124.49x = 171.75 × 82.97
  4. Step 4: Simplify right side
    124.49x = 14,250.10
  5. Step 5: Solve for x
    x = 14,250.10/124.49
  6. Step 6: Final answer
    x = 114.47

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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.