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Finding the Fourth Proportional to 117, 161.43 and 82.17

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Solution

The fourth proportional to 117, 161.43 and 82.17 is: 113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 161.43 = 82.17 : x
  2. Step 2: Convert to fraction form
    117/161.43 = 82.17/x
  3. Step 3: Cross multiply
    117x = 161.43 × 82.17
  4. Step 4: Simplify right side
    117x = 13,264.70
  5. Step 5: Solve for x
    x = 13,264.70/117
  6. Step 6: Final answer
    x = 113.37

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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.