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Finding the Fourth Proportional to 124.17, 185.76 and 116.49

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Solution

The fourth proportional to 124.17, 185.76 and 116.49 is: 174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.17 : 185.76 = 116.49 : x
  2. Step 2: Convert to fraction form
    124.17/185.76 = 116.49/x
  3. Step 3: Cross multiply
    124.17x = 185.76 × 116.49
  4. Step 4: Simplify right side
    124.17x = 21,639.18
  5. Step 5: Solve for x
    x = 21,639.18/124.17
  6. Step 6: Final answer
    x = 174.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.