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Finding the Fourth Proportional to 99.09, 136.49 and 91.40

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Solution

The fourth proportional to 99.09, 136.49 and 91.40 is: 125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.09 : 136.49 = 91.40 : x
  2. Step 2: Convert to fraction form
    99.09/136.49 = 91.40/x
  3. Step 3: Cross multiply
    99.09x = 136.49 × 91.40
  4. Step 4: Simplify right side
    99.09x = 12,474.05
  5. Step 5: Solve for x
    x = 12,474.05/99.09
  6. Step 6: Final answer
    x = 125.89

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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.