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Finding the Fourth Proportional to 131.04, 180.71 and 89.12

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Solution

The fourth proportional to 131.04, 180.71 and 89.12 is: 122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.04 : 180.71 = 89.12 : x
  2. Step 2: Convert to fraction form
    131.04/180.71 = 89.12/x
  3. Step 3: Cross multiply
    131.04x = 180.71 × 89.12
  4. Step 4: Simplify right side
    131.04x = 16,104.88
  5. Step 5: Solve for x
    x = 16,104.88/131.04
  6. Step 6: Final answer
    x = 122.90

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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.