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Finding the Fourth Proportional to 106.04, 159.60 and 80.49

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Solution

The fourth proportional to 106.04, 159.60 and 80.49 is: 121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.04 : 159.60 = 80.49 : x
  2. Step 2: Convert to fraction form
    106.04/159.60 = 80.49/x
  3. Step 3: Cross multiply
    106.04x = 159.60 × 80.49
  4. Step 4: Simplify right side
    106.04x = 12,847.10
  5. Step 5: Solve for x
    x = 12,847.10/106.04
  6. Step 6: Final answer
    x = 121.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.