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Finding the Fourth Proportional to 117.57, 162.30 and 82.61

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Solution

The fourth proportional to 117.57, 162.30 and 82.61 is: 114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.57 : 162.30 = 82.61 : x
  2. Step 2: Convert to fraction form
    117.57/162.30 = 82.61/x
  3. Step 3: Cross multiply
    117.57x = 162.30 × 82.61
  4. Step 4: Simplify right side
    117.57x = 13,407.60
  5. Step 5: Solve for x
    x = 13,407.60/117.57
  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.