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Finding the Fourth Proportional to 81.70, 112.64 and 76.26

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Solution

The fourth proportional to 81.70, 112.64 and 76.26 is: 105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.70 : 112.64 = 76.26 : x
  2. Step 2: Convert to fraction form
    81.70/112.64 = 76.26/x
  3. Step 3: Cross multiply
    81.70x = 112.64 × 76.26
  4. Step 4: Simplify right side
    81.70x = 8,589.93
  5. Step 5: Solve for x
    x = 8,589.93/81.70
  6. Step 6: Final answer
    x = 105.14

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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.