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Finding the Fourth Proportional to 99.52, 137.04 and 71.84

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Solution

The fourth proportional to 99.52, 137.04 and 71.84 is: 98.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.52 : 137.04 = 71.84 : x
  2. Step 2: Convert to fraction form
    99.52/137.04 = 71.84/x
  3. Step 3: Cross multiply
    99.52x = 137.04 × 71.84
  4. Step 4: Simplify right side
    99.52x = 9,844.95
  5. Step 5: Solve for x
    x = 9,844.95/99.52
  6. Step 6: Final answer
    x = 98.92

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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.