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Finding the Fourth Proportional to 131.64, 180.92 and 123.48

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Solution

The fourth proportional to 131.64, 180.92 and 123.48 is: 169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.64 : 180.92 = 123.48 : x
  2. Step 2: Convert to fraction form
    131.64/180.92 = 123.48/x
  3. Step 3: Cross multiply
    131.64x = 180.92 × 123.48
  4. Step 4: Simplify right side
    131.64x = 22,340.00
  5. Step 5: Solve for x
    x = 22,340.00/131.64
  6. Step 6: Final answer
    x = 169.71

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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.