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Finding the Fourth Proportional to 121.60, 167.80 and 105.20

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Solution

The fourth proportional to 121.60, 167.80 and 105.20 is: 145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.60 : 167.80 = 105.20 : x
  2. Step 2: Convert to fraction form
    121.60/167.80 = 105.20/x
  3. Step 3: Cross multiply
    121.60x = 167.80 × 105.20
  4. Step 4: Simplify right side
    121.60x = 17,652.56
  5. Step 5: Solve for x
    x = 17,652.56/121.60
  6. Step 6: Final answer
    x = 145.17

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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.