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Finding the Fourth Proportional to 131.00, 180.77 and 89.69

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Solution

The fourth proportional to 131.00, 180.77 and 89.69 is: 123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.00 : 180.77 = 89.69 : x
  2. Step 2: Convert to fraction form
    131.00/180.77 = 89.69/x
  3. Step 3: Cross multiply
    131.00x = 180.77 × 89.69
  4. Step 4: Simplify right side
    131.00x = 16,211.91
  5. Step 5: Solve for x
    x = 16,211.91/131.00
  6. Step 6: Final answer
    x = 123.76

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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.