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Finding the Fourth Proportional to 136.74, 204.94 and 87.84

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Solution

The fourth proportional to 136.74, 204.94 and 87.84 is: 131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.74 : 204.94 = 87.84 : x
  2. Step 2: Convert to fraction form
    136.74/204.94 = 87.84/x
  3. Step 3: Cross multiply
    136.74x = 204.94 × 87.84
  4. Step 4: Simplify right side
    136.74x = 18,001.93
  5. Step 5: Solve for x
    x = 18,001.93/136.74
  6. Step 6: Final answer
    x = 131.65

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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.