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Finding the Fourth Proportional to 99.53, 137.22 and 82.87

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Solution

The fourth proportional to 99.53, 137.22 and 82.87 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.53 : 137.22 = 82.87 : x
  2. Step 2: Convert to fraction form
    99.53/137.22 = 82.87/x
  3. Step 3: Cross multiply
    99.53x = 137.22 × 82.87
  4. Step 4: Simplify right side
    99.53x = 11,371.42
  5. Step 5: Solve for x
    x = 11,371.42/99.53
  6. Step 6: Final answer
    x = 114.25

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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.