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Finding the Fourth Proportional to 81.30, 112.20 and 56.86

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Solution

The fourth proportional to 81.30, 112.20 and 56.86 is: 78.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.30 : 112.20 = 56.86 : x
  2. Step 2: Convert to fraction form
    81.30/112.20 = 56.86/x
  3. Step 3: Cross multiply
    81.30x = 112.20 × 56.86
  4. Step 4: Simplify right side
    81.30x = 6,379.69
  5. Step 5: Solve for x
    x = 6,379.69/81.30
  6. Step 6: Final answer
    x = 78.47

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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.