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Finding the Fourth Proportional to 98.78, 136.22 and 76.91

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Solution

The fourth proportional to 98.78, 136.22 and 76.91 is: 106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.78 : 136.22 = 76.91 : x
  2. Step 2: Convert to fraction form
    98.78/136.22 = 76.91/x
  3. Step 3: Cross multiply
    98.78x = 136.22 × 76.91
  4. Step 4: Simplify right side
    98.78x = 10,475.61
  5. Step 5: Solve for x
    x = 10,475.61/98.78
  6. Step 6: Final answer
    x = 106.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.