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Finding the Fourth Proportional to 136.14, 203.72 and 99.62

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Solution

The fourth proportional to 136.14, 203.72 and 99.62 is: 149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.14 : 203.72 = 99.62 : x
  2. Step 2: Convert to fraction form
    136.14/203.72 = 99.62/x
  3. Step 3: Cross multiply
    136.14x = 203.72 × 99.62
  4. Step 4: Simplify right side
    136.14x = 20,294.59
  5. Step 5: Solve for x
    x = 20,294.59/136.14
  6. Step 6: Final answer
    x = 149.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.