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Finding the Fourth Proportional to 136.17, 204.33 and 55.02

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Solution

The fourth proportional to 136.17, 204.33 and 55.02 is: 82.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.17 : 204.33 = 55.02 : x
  2. Step 2: Convert to fraction form
    136.17/204.33 = 55.02/x
  3. Step 3: Cross multiply
    136.17x = 204.33 × 55.02
  4. Step 4: Simplify right side
    136.17x = 11,242.24
  5. Step 5: Solve for x
    x = 11,242.24/136.17
  6. Step 6: Final answer
    x = 82.56

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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.