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Finding the Fourth Proportional to 99.06, 136.62 and 97.71

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Solution

The fourth proportional to 99.06, 136.62 and 97.71 is: 134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.06 : 136.62 = 97.71 : x
  2. Step 2: Convert to fraction form
    99.06/136.62 = 97.71/x
  3. Step 3: Cross multiply
    99.06x = 136.62 × 97.71
  4. Step 4: Simplify right side
    99.06x = 13,349.14
  5. Step 5: Solve for x
    x = 13,349.14/99.06
  6. Step 6: Final answer
    x = 134.76

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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.