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Finding the Fourth Proportional to 86.08, 118.71 and 59.80

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Solution

The fourth proportional to 86.08, 118.71 and 59.80 is: 82.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.08 : 118.71 = 59.80 : x
  2. Step 2: Convert to fraction form
    86.08/118.71 = 59.80/x
  3. Step 3: Cross multiply
    86.08x = 118.71 × 59.80
  4. Step 4: Simplify right side
    86.08x = 7,098.86
  5. Step 5: Solve for x
    x = 7,098.86/86.08
  6. Step 6: Final answer
    x = 82.47

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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.