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Finding the Fourth Proportional to 106.54, 146.90 and 80.34

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Solution

The fourth proportional to 106.54, 146.90 and 80.34 is: 110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 146.90 = 80.34 : x
  2. Step 2: Convert to fraction form
    106.54/146.90 = 80.34/x
  3. Step 3: Cross multiply
    106.54x = 146.90 × 80.34
  4. Step 4: Simplify right side
    106.54x = 11,801.95
  5. Step 5: Solve for x
    x = 11,801.95/106.54
  6. Step 6: Final answer
    x = 110.77

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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.