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Finding the Fourth Proportional to 85.65, 117.84 and 79.13

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Solution

The fourth proportional to 85.65, 117.84 and 79.13 is: 108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.65 : 117.84 = 79.13 : x
  2. Step 2: Convert to fraction form
    85.65/117.84 = 79.13/x
  3. Step 3: Cross multiply
    85.65x = 117.84 × 79.13
  4. Step 4: Simplify right side
    85.65x = 9,324.68
  5. Step 5: Solve for x
    x = 9,324.68/85.65
  6. Step 6: Final answer
    x = 108.87

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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.