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Finding the Fourth Proportional to 86.17, 118.92 and 57.10

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Solution

The fourth proportional to 86.17, 118.92 and 57.10 is: 78.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.17 : 118.92 = 57.10 : x
  2. Step 2: Convert to fraction form
    86.17/118.92 = 57.10/x
  3. Step 3: Cross multiply
    86.17x = 118.92 × 57.10
  4. Step 4: Simplify right side
    86.17x = 6,790.33
  5. Step 5: Solve for x
    x = 6,790.33/86.17
  6. Step 6: Final answer
    x = 78.80

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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.