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Finding the Fourth Proportional to 98.47, 135.78 and 83.89

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Solution

The fourth proportional to 98.47, 135.78 and 83.89 is: 115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.47 : 135.78 = 83.89 : x
  2. Step 2: Convert to fraction form
    98.47/135.78 = 83.89/x
  3. Step 3: Cross multiply
    98.47x = 135.78 × 83.89
  4. Step 4: Simplify right side
    98.47x = 11,390.58
  5. Step 5: Solve for x
    x = 11,390.58/98.47
  6. Step 6: Final answer
    x = 115.68

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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.