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Finding the Fourth Proportional to 121.34, 167.50 and 77.70

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Solution

The fourth proportional to 121.34, 167.50 and 77.70 is: 107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.34 : 167.50 = 77.70 : x
  2. Step 2: Convert to fraction form
    121.34/167.50 = 77.70/x
  3. Step 3: Cross multiply
    121.34x = 167.50 × 77.70
  4. Step 4: Simplify right side
    121.34x = 13,014.75
  5. Step 5: Solve for x
    x = 13,014.75/121.34
  6. Step 6: Final answer
    x = 107.26

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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.