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Finding the Fourth Proportional to 99.24, 136 and 97.89

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Solution

The fourth proportional to 99.24, 136 and 97.89 is: 134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.24 : 136 = 97.89 : x
  2. Step 2: Convert to fraction form
    99.24/136 = 97.89/x
  3. Step 3: Cross multiply
    99.24x = 136 × 97.89
  4. Step 4: Simplify right side
    99.24x = 13,313.04
  5. Step 5: Solve for x
    x = 13,313.04/99.24
  6. Step 6: Final answer
    x = 134.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.