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Finding the Fourth Proportional to 98.66, 136.17 and 59.84

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Solution

The fourth proportional to 98.66, 136.17 and 59.84 is: 82.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.66 : 136.17 = 59.84 : x
  2. Step 2: Convert to fraction form
    98.66/136.17 = 59.84/x
  3. Step 3: Cross multiply
    98.66x = 136.17 × 59.84
  4. Step 4: Simplify right side
    98.66x = 8,148.41
  5. Step 5: Solve for x
    x = 8,148.41/98.66
  6. Step 6: Final answer
    x = 82.59

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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.