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Finding the Fourth Proportional to 99.29, 137.96 and 97.99

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Solution

The fourth proportional to 99.29, 137.96 and 97.99 is: 136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.29 : 137.96 = 97.99 : x
  2. Step 2: Convert to fraction form
    99.29/137.96 = 97.99/x
  3. Step 3: Cross multiply
    99.29x = 137.96 × 97.99
  4. Step 4: Simplify right side
    99.29x = 13,518.70
  5. Step 5: Solve for x
    x = 13,518.70/99.29
  6. Step 6: Final answer
    x = 136.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.