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Finding the Fourth Proportional to 86.34, 118.22 and 86.04

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Solution

The fourth proportional to 86.34, 118.22 and 86.04 is: 117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.34 : 118.22 = 86.04 : x
  2. Step 2: Convert to fraction form
    86.34/118.22 = 86.04/x
  3. Step 3: Cross multiply
    86.34x = 118.22 × 86.04
  4. Step 4: Simplify right side
    86.34x = 10,170.78
  5. Step 5: Solve for x
    x = 10,170.78/86.34
  6. Step 6: Final answer
    x = 117.80

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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.