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Finding the Fourth Proportional to 124.66, 186.72 and 76.42

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Solution

The fourth proportional to 124.66, 186.72 and 76.42 is: 114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.66 : 186.72 = 76.42 : x
  2. Step 2: Convert to fraction form
    124.66/186.72 = 76.42/x
  3. Step 3: Cross multiply
    124.66x = 186.72 × 76.42
  4. Step 4: Simplify right side
    124.66x = 14,269.14
  5. Step 5: Solve for x
    x = 14,269.14/124.66
  6. Step 6: Final answer
    x = 114.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.