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Finding the Fourth Proportional to 136.18, 204.03 and 102.02

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Solution

The fourth proportional to 136.18, 204.03 and 102.02 is: 152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.18 : 204.03 = 102.02 : x
  2. Step 2: Convert to fraction form
    136.18/204.03 = 102.02/x
  3. Step 3: Cross multiply
    136.18x = 204.03 × 102.02
  4. Step 4: Simplify right side
    136.18x = 20,815.14
  5. Step 5: Solve for x
    x = 20,815.14/136.18
  6. Step 6: Final answer
    x = 152.85

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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.