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Finding the Fourth Proportional to 98.52, 135.82 and 81.93

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Solution

The fourth proportional to 98.52, 135.82 and 81.93 is: 112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.52 : 135.82 = 81.93 : x
  2. Step 2: Convert to fraction form
    98.52/135.82 = 81.93/x
  3. Step 3: Cross multiply
    98.52x = 135.82 × 81.93
  4. Step 4: Simplify right side
    98.52x = 11,127.73
  5. Step 5: Solve for x
    x = 11,127.73/98.52
  6. Step 6: Final answer
    x = 112.95

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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.