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Finding the Fourth Proportional to 131.52, 180.64 and 121.92

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Solution

The fourth proportional to 131.52, 180.64 and 121.92 is: 167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.52 : 180.64 = 121.92 : x
  2. Step 2: Convert to fraction form
    131.52/180.64 = 121.92/x
  3. Step 3: Cross multiply
    131.52x = 180.64 × 121.92
  4. Step 4: Simplify right side
    131.52x = 22,023.63
  5. Step 5: Solve for x
    x = 22,023.63/131.52
  6. Step 6: Final answer
    x = 167.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.