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Finding the Fourth Proportional to 99.48, 137.16 and 82.83

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Solution

The fourth proportional to 99.48, 137.16 and 82.83 is: 114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.48 : 137.16 = 82.83 : x
  2. Step 2: Convert to fraction form
    99.48/137.16 = 82.83/x
  3. Step 3: Cross multiply
    99.48x = 137.16 × 82.83
  4. Step 4: Simplify right side
    99.48x = 11,360.96
  5. Step 5: Solve for x
    x = 11,360.96/99.48
  6. Step 6: Final answer
    x = 114.20

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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.