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Finding the Fourth Proportional to 99.50, 137.37 and 81.23

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Solution

The fourth proportional to 99.50, 137.37 and 81.23 is: 112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.50 : 137.37 = 81.23 : x
  2. Step 2: Convert to fraction form
    99.50/137.37 = 81.23/x
  3. Step 3: Cross multiply
    99.50x = 137.37 × 81.23
  4. Step 4: Simplify right side
    99.50x = 11,158.57
  5. Step 5: Solve for x
    x = 11,158.57/99.50
  6. Step 6: Final answer
    x = 112.15

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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.