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Finding the Fourth Proportional to 121.58, 167.76 and 69.12

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Solution

The fourth proportional to 121.58, 167.76 and 69.12 is: 95.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.58 : 167.76 = 69.12 : x
  2. Step 2: Convert to fraction form
    121.58/167.76 = 69.12/x
  3. Step 3: Cross multiply
    121.58x = 167.76 × 69.12
  4. Step 4: Simplify right side
    121.58x = 11,595.57
  5. Step 5: Solve for x
    x = 11,595.57/121.58
  6. Step 6: Final answer
    x = 95.37

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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.