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Finding the Fourth Proportional to 81.16, 112.02 and 51.65

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Solution

The fourth proportional to 81.16, 112.02 and 51.65 is: 71.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.16 : 112.02 = 51.65 : x
  2. Step 2: Convert to fraction form
    81.16/112.02 = 51.65/x
  3. Step 3: Cross multiply
    81.16x = 112.02 × 51.65
  4. Step 4: Simplify right side
    81.16x = 5,786.57
  5. Step 5: Solve for x
    x = 5,786.57/81.16
  6. Step 6: Final answer
    x = 71.30

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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.