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Finding the Fourth Proportional to 99.65, 137.40 and 82.24

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Solution

The fourth proportional to 99.65, 137.40 and 82.24 is: 113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.65 : 137.40 = 82.24 : x
  2. Step 2: Convert to fraction form
    99.65/137.40 = 82.24/x
  3. Step 3: Cross multiply
    99.65x = 137.40 × 82.24
  4. Step 4: Simplify right side
    99.65x = 11,299.12
  5. Step 5: Solve for x
    x = 11,299.12/99.65
  6. Step 6: Final answer
    x = 113.39

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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.