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Finding the Fourth Proportional to 131.06, 180.77 and 89.67

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Solution

The fourth proportional to 131.06, 180.77 and 89.67 is: 123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.06 : 180.77 = 89.67 : x
  2. Step 2: Convert to fraction form
    131.06/180.77 = 89.67/x
  3. Step 3: Cross multiply
    131.06x = 180.77 × 89.67
  4. Step 4: Simplify right side
    131.06x = 16,209.88
  5. Step 5: Solve for x
    x = 16,209.88/131.06
  6. Step 6: Final answer
    x = 123.68

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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.