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Finding the Fourth Proportional to 86.18, 118.87 and 53.42

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Solution

The fourth proportional to 86.18, 118.87 and 53.42 is: 73.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.18 : 118.87 = 53.42 : x
  2. Step 2: Convert to fraction form
    86.18/118.87 = 53.42/x
  3. Step 3: Cross multiply
    86.18x = 118.87 × 53.42
  4. Step 4: Simplify right side
    86.18x = 6,350.04
  5. Step 5: Solve for x
    x = 6,350.04/86.18
  6. Step 6: Final answer
    x = 73.68

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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.