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Finding the Fourth Proportional to 98.78, 136.17 and 70.71

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Solution

The fourth proportional to 98.78, 136.17 and 70.71 is: 97.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.78 : 136.17 = 70.71 : x
  2. Step 2: Convert to fraction form
    98.78/136.17 = 70.71/x
  3. Step 3: Cross multiply
    98.78x = 136.17 × 70.71
  4. Step 4: Simplify right side
    98.78x = 9,627.80
  5. Step 5: Solve for x
    x = 9,627.80/98.78
  6. Step 6: Final answer
    x = 97.47

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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.