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Finding the Fourth Proportional to 121.32, 180.72 and 114.48

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Solution

The fourth proportional to 121.32, 180.72 and 114.48 is: 170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.32 : 180.72 = 114.48 : x
  2. Step 2: Convert to fraction form
    121.32/180.72 = 114.48/x
  3. Step 3: Cross multiply
    121.32x = 180.72 × 114.48
  4. Step 4: Simplify right side
    121.32x = 20,688.83
  5. Step 5: Solve for x
    x = 20,688.83/121.32
  6. Step 6: Final answer
    x = 170.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.