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Finding the Fourth Proportional to 80.16, 119.62 and 71.48

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Solution

The fourth proportional to 80.16, 119.62 and 71.48 is: 106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.16 : 119.62 = 71.48 : x
  2. Step 2: Convert to fraction form
    80.16/119.62 = 71.48/x
  3. Step 3: Cross multiply
    80.16x = 119.62 × 71.48
  4. Step 4: Simplify right side
    80.16x = 8,550.44
  5. Step 5: Solve for x
    x = 8,550.44/80.16
  6. Step 6: Final answer
    x = 106.67

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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.