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Finding the Fourth Proportional to 99.73, 137.14 and 83.13

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Solution

The fourth proportional to 99.73, 137.14 and 83.13 is: 114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.73 : 137.14 = 83.13 : x
  2. Step 2: Convert to fraction form
    99.73/137.14 = 83.13/x
  3. Step 3: Cross multiply
    99.73x = 137.14 × 83.13
  4. Step 4: Simplify right side
    99.73x = 11,400.19
  5. Step 5: Solve for x
    x = 11,400.19/99.73
  6. Step 6: Final answer
    x = 114.31

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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.