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Finding the Fourth Proportional to 117.67, 162.12 and 82.57

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Solution

The fourth proportional to 117.67, 162.12 and 82.57 is: 113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.67 : 162.12 = 82.57 : x
  2. Step 2: Convert to fraction form
    117.67/162.12 = 82.57/x
  3. Step 3: Cross multiply
    117.67x = 162.12 × 82.57
  4. Step 4: Simplify right side
    117.67x = 13,386.25
  5. Step 5: Solve for x
    x = 13,386.25/117.67
  6. Step 6: Final answer
    x = 113.76

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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.