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Finding the Fourth Proportional to 86.65, 129.75 and 82.18

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Solution

The fourth proportional to 86.65, 129.75 and 82.18 is: 123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.65 : 129.75 = 82.18 : x
  2. Step 2: Convert to fraction form
    86.65/129.75 = 82.18/x
  3. Step 3: Cross multiply
    86.65x = 129.75 × 82.18
  4. Step 4: Simplify right side
    86.65x = 10,662.86
  5. Step 5: Solve for x
    x = 10,662.86/86.65
  6. Step 6: Final answer
    x = 123.06

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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.