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Finding the Fourth Proportional to 124.27, 185.15 and 117.28

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Solution

The fourth proportional to 124.27, 185.15 and 117.28 is: 174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.27 : 185.15 = 117.28 : x
  2. Step 2: Convert to fraction form
    124.27/185.15 = 117.28/x
  3. Step 3: Cross multiply
    124.27x = 185.15 × 117.28
  4. Step 4: Simplify right side
    124.27x = 21,714.92
  5. Step 5: Solve for x
    x = 21,714.92/124.27
  6. Step 6: Final answer
    x = 174.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.