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Finding the Fourth Proportional to 117.43, 162.11 and 84.67

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Solution

The fourth proportional to 117.43, 162.11 and 84.67 is: 116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.43 : 162.11 = 84.67 : x
  2. Step 2: Convert to fraction form
    117.43/162.11 = 84.67/x
  3. Step 3: Cross multiply
    117.43x = 162.11 × 84.67
  4. Step 4: Simplify right side
    117.43x = 13,725.85
  5. Step 5: Solve for x
    x = 13,725.85/117.43
  6. Step 6: Final answer
    x = 116.89

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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.