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Finding the Fourth Proportional to 99.36, 136.86 and 96.04

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Solution

The fourth proportional to 99.36, 136.86 and 96.04 is: 132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.36 : 136.86 = 96.04 : x
  2. Step 2: Convert to fraction form
    99.36/136.86 = 96.04/x
  3. Step 3: Cross multiply
    99.36x = 136.86 × 96.04
  4. Step 4: Simplify right side
    99.36x = 13,144.03
  5. Step 5: Solve for x
    x = 13,144.03/99.36
  6. Step 6: Final answer
    x = 132.29

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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.