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Finding the Fourth Proportional to 106.84, 148.45 and 105.71

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Solution

The fourth proportional to 106.84, 148.45 and 105.71 is: 146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.84 : 148.45 = 105.71 : x
  2. Step 2: Convert to fraction form
    106.84/148.45 = 105.71/x
  3. Step 3: Cross multiply
    106.84x = 148.45 × 105.71
  4. Step 4: Simplify right side
    106.84x = 15,692.65
  5. Step 5: Solve for x
    x = 15,692.65/106.84
  6. Step 6: Final answer
    x = 146.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.