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Finding the Fourth Proportional to 136.92, 205.47 and 76.10

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Solution

The fourth proportional to 136.92, 205.47 and 76.10 is: 114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.92 : 205.47 = 76.10 : x
  2. Step 2: Convert to fraction form
    136.92/205.47 = 76.10/x
  3. Step 3: Cross multiply
    136.92x = 205.47 × 76.10
  4. Step 4: Simplify right side
    136.92x = 15,635.24
  5. Step 5: Solve for x
    x = 15,635.24/136.92
  6. Step 6: Final answer
    x = 114.19

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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.