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Finding the Fourth Proportional to 136.95, 204.08 and 132.59

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Solution

The fourth proportional to 136.95, 204.08 and 132.59 is: 197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.95 : 204.08 = 132.59 : x
  2. Step 2: Convert to fraction form
    136.95/204.08 = 132.59/x
  3. Step 3: Cross multiply
    136.95x = 204.08 × 132.59
  4. Step 4: Simplify right side
    136.95x = 27,057.28
  5. Step 5: Solve for x
    x = 27,057.28/136.95
  6. Step 6: Final answer
    x = 197.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.