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Finding the Fourth Proportional to 120.40, 179.76 and 106

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Solution

The fourth proportional to 120.40, 179.76 and 106 is: 158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.40 : 179.76 = 106 : x
  2. Step 2: Convert to fraction form
    120.40/179.76 = 106/x
  3. Step 3: Cross multiply
    120.40x = 179.76 × 106
  4. Step 4: Simplify right side
    120.40x = 19,054.56
  5. Step 5: Solve for x
    x = 19,054.56/120.40
  6. Step 6: Final answer
    x = 158.26

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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.