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Finding the Fourth Proportional to 136.10, 204.13 and 101.92

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Solution

The fourth proportional to 136.10, 204.13 and 101.92 is: 152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.10 : 204.13 = 101.92 : x
  2. Step 2: Convert to fraction form
    136.10/204.13 = 101.92/x
  3. Step 3: Cross multiply
    136.10x = 204.13 × 101.92
  4. Step 4: Simplify right side
    136.10x = 20,804.93
  5. Step 5: Solve for x
    x = 20,804.93/136.10
  6. Step 6: Final answer
    x = 152.87

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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.