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Finding the Fourth Proportional to 131.18, 180.41 and 104.64

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Solution

The fourth proportional to 131.18, 180.41 and 104.64 is: 143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.18 : 180.41 = 104.64 : x
  2. Step 2: Convert to fraction form
    131.18/180.41 = 104.64/x
  3. Step 3: Cross multiply
    131.18x = 180.41 × 104.64
  4. Step 4: Simplify right side
    131.18x = 18,877.58
  5. Step 5: Solve for x
    x = 18,877.58/131.18
  6. Step 6: Final answer
    x = 143.91

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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.