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Finding the Fourth Proportional to 98.71, 136.23 and 59.88

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Solution

The fourth proportional to 98.71, 136.23 and 59.88 is: 82.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.71 : 136.23 = 59.88 : x
  2. Step 2: Convert to fraction form
    98.71/136.23 = 59.88/x
  3. Step 3: Cross multiply
    98.71x = 136.23 × 59.88
  4. Step 4: Simplify right side
    98.71x = 8,157.45
  5. Step 5: Solve for x
    x = 8,157.45/98.71
  6. Step 6: Final answer
    x = 82.64

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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.