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Finding the Fourth Proportional to 124.04, 185.19 and 116.76

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Solution

The fourth proportional to 124.04, 185.19 and 116.76 is: 174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.04 : 185.19 = 116.76 : x
  2. Step 2: Convert to fraction form
    124.04/185.19 = 116.76/x
  3. Step 3: Cross multiply
    124.04x = 185.19 × 116.76
  4. Step 4: Simplify right side
    124.04x = 21,622.78
  5. Step 5: Solve for x
    x = 21,622.78/124.04
  6. Step 6: Final answer
    x = 174.32

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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.