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Finding the Fourth Proportional to 124.91, 186.62 and 119.24

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Solution

The fourth proportional to 124.91, 186.62 and 119.24 is: 178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.91 : 186.62 = 119.24 : x
  2. Step 2: Convert to fraction form
    124.91/186.62 = 119.24/x
  3. Step 3: Cross multiply
    124.91x = 186.62 × 119.24
  4. Step 4: Simplify right side
    124.91x = 22,252.41
  5. Step 5: Solve for x
    x = 22,252.41/124.91
  6. Step 6: Final answer
    x = 178.15

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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.