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Finding the Fourth Proportional to 81.65, 112.78 and 75.07

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Solution

The fourth proportional to 81.65, 112.78 and 75.07 is: 103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.65 : 112.78 = 75.07 : x
  2. Step 2: Convert to fraction form
    81.65/112.78 = 75.07/x
  3. Step 3: Cross multiply
    81.65x = 112.78 × 75.07
  4. Step 4: Simplify right side
    81.65x = 8,466.21
  5. Step 5: Solve for x
    x = 8,466.21/81.65
  6. Step 6: Final answer
    x = 103.69

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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.