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Finding the Fourth Proportional to 86.24, 118.92 and 56.74

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Solution

The fourth proportional to 86.24, 118.92 and 56.74 is: 78.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.24 : 118.92 = 56.74 : x
  2. Step 2: Convert to fraction form
    86.24/118.92 = 56.74/x
  3. Step 3: Cross multiply
    86.24x = 118.92 × 56.74
  4. Step 4: Simplify right side
    86.24x = 6,747.52
  5. Step 5: Solve for x
    x = 6,747.52/86.24
  6. Step 6: Final answer
    x = 78.24

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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.