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Finding the Fourth Proportional to 124.01, 185.13 and 119.74

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Solution

The fourth proportional to 124.01, 185.13 and 119.74 is: 178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.01 : 185.13 = 119.74 : x
  2. Step 2: Convert to fraction form
    124.01/185.13 = 119.74/x
  3. Step 3: Cross multiply
    124.01x = 185.13 × 119.74
  4. Step 4: Simplify right side
    124.01x = 22,167.47
  5. Step 5: Solve for x
    x = 22,167.47/124.01
  6. Step 6: Final answer
    x = 178.76

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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.