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Finding the Fourth Proportional to 124.32, 185.13 and 118.10

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Solution

The fourth proportional to 124.32, 185.13 and 118.10 is: 175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.32 : 185.13 = 118.10 : x
  2. Step 2: Convert to fraction form
    124.32/185.13 = 118.10/x
  3. Step 3: Cross multiply
    124.32x = 185.13 × 118.10
  4. Step 4: Simplify right side
    124.32x = 21,863.85
  5. Step 5: Solve for x
    x = 21,863.85/124.32
  6. Step 6: Final answer
    x = 175.87

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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.