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Finding the Fourth Proportional to 136.82, 205.14 and 59.84

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Solution

The fourth proportional to 136.82, 205.14 and 59.84 is: 89.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.82 : 205.14 = 59.84 : x
  2. Step 2: Convert to fraction form
    136.82/205.14 = 59.84/x
  3. Step 3: Cross multiply
    136.82x = 205.14 × 59.84
  4. Step 4: Simplify right side
    136.82x = 12,275.58
  5. Step 5: Solve for x
    x = 12,275.58/136.82
  6. Step 6: Final answer
    x = 89.72

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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.