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Finding the Fourth Proportional to 86.74, 119.19 and 71.17

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Solution

The fourth proportional to 86.74, 119.19 and 71.17 is: 97.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.74 : 119.19 = 71.17 : x
  2. Step 2: Convert to fraction form
    86.74/119.19 = 71.17/x
  3. Step 3: Cross multiply
    86.74x = 119.19 × 71.17
  4. Step 4: Simplify right side
    86.74x = 8,482.40
  5. Step 5: Solve for x
    x = 8,482.40/86.74
  6. Step 6: Final answer
    x = 97.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.