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Finding the Fourth Proportional to 121.48, 180.97 and 115.24

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Solution

The fourth proportional to 121.48, 180.97 and 115.24 is: 171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.48 : 180.97 = 115.24 : x
  2. Step 2: Convert to fraction form
    121.48/180.97 = 115.24/x
  3. Step 3: Cross multiply
    121.48x = 180.97 × 115.24
  4. Step 4: Simplify right side
    121.48x = 20,854.98
  5. Step 5: Solve for x
    x = 20,854.98/121.48
  6. Step 6: Final answer
    x = 171.67

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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.