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Finding the Fourth Proportional to 136.88, 188.95 and 97.61

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Solution

The fourth proportional to 136.88, 188.95 and 97.61 is: 134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.88 : 188.95 = 97.61 : x
  2. Step 2: Convert to fraction form
    136.88/188.95 = 97.61/x
  3. Step 3: Cross multiply
    136.88x = 188.95 × 97.61
  4. Step 4: Simplify right side
    136.88x = 18,443.64
  5. Step 5: Solve for x
    x = 18,443.64/136.88
  6. Step 6: Final answer
    x = 134.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.