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Finding the Fourth Proportional to 124.29, 184.81 and 119.43

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Solution

The fourth proportional to 124.29, 184.81 and 119.43 is: 177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.29 : 184.81 = 119.43 : x
  2. Step 2: Convert to fraction form
    124.29/184.81 = 119.43/x
  3. Step 3: Cross multiply
    124.29x = 184.81 × 119.43
  4. Step 4: Simplify right side
    124.29x = 22,071.86
  5. Step 5: Solve for x
    x = 22,071.86/124.29
  6. Step 6: Final answer
    x = 177.58

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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.