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Finding the Fourth Proportional to 106.40, 159.66 and 67.77

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Solution

The fourth proportional to 106.40, 159.66 and 67.77 is: 101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.40 : 159.66 = 67.77 : x
  2. Step 2: Convert to fraction form
    106.40/159.66 = 67.77/x
  3. Step 3: Cross multiply
    106.40x = 159.66 × 67.77
  4. Step 4: Simplify right side
    106.40x = 10,820.16
  5. Step 5: Solve for x
    x = 10,820.16/106.40
  6. Step 6: Final answer
    x = 101.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.