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Finding the Fourth Proportional to 98.85, 136.23 and 71.17

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Solution

The fourth proportional to 98.85, 136.23 and 71.17 is: 98.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.85 : 136.23 = 71.17 : x
  2. Step 2: Convert to fraction form
    98.85/136.23 = 71.17/x
  3. Step 3: Cross multiply
    98.85x = 136.23 × 71.17
  4. Step 4: Simplify right side
    98.85x = 9,695.13
  5. Step 5: Solve for x
    x = 9,695.13/98.85
  6. Step 6: Final answer
    x = 98.08

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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.