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Finding the Fourth Proportional to 88.06, 131.38 and 80.20

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Solution

The fourth proportional to 88.06, 131.38 and 80.20 is: 119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.06 : 131.38 = 80.20 : x
  2. Step 2: Convert to fraction form
    88.06/131.38 = 80.20/x
  3. Step 3: Cross multiply
    88.06x = 131.38 × 80.20
  4. Step 4: Simplify right side
    88.06x = 10,536.68
  5. Step 5: Solve for x
    x = 10,536.68/88.06
  6. Step 6: Final answer
    x = 119.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.