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Finding the Fourth Proportional to 117.47, 162.17 and 82.61

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Solution

The fourth proportional to 117.47, 162.17 and 82.61 is: 114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.47 : 162.17 = 82.61 : x
  2. Step 2: Convert to fraction form
    117.47/162.17 = 82.61/x
  3. Step 3: Cross multiply
    117.47x = 162.17 × 82.61
  4. Step 4: Simplify right side
    117.47x = 13,396.05
  5. Step 5: Solve for x
    x = 13,396.05/117.47
  6. Step 6: Final answer
    x = 114.04

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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.