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Finding the Fourth Proportional to 85.17, 117.42 and 80.16

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Solution

The fourth proportional to 85.17, 117.42 and 80.16 is: 110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.17 : 117.42 = 80.16 : x
  2. Step 2: Convert to fraction form
    85.17/117.42 = 80.16/x
  3. Step 3: Cross multiply
    85.17x = 117.42 × 80.16
  4. Step 4: Simplify right side
    85.17x = 9,411.65
  5. Step 5: Solve for x
    x = 9,411.65/85.17
  6. Step 6: Final answer
    x = 110.51

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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.