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Finding the Fourth Proportional to 86.58, 119.43 and 57.42

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Solution

The fourth proportional to 86.58, 119.43 and 57.42 is: 79.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.58 : 119.43 = 57.42 : x
  2. Step 2: Convert to fraction form
    86.58/119.43 = 57.42/x
  3. Step 3: Cross multiply
    86.58x = 119.43 × 57.42
  4. Step 4: Simplify right side
    86.58x = 6,857.67
  5. Step 5: Solve for x
    x = 6,857.67/86.58
  6. Step 6: Final answer
    x = 79.21

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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.