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Finding the Fourth Proportional to 106.84, 146.70 and 102.79

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Solution

The fourth proportional to 106.84, 146.70 and 102.79 is: 141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.84 : 146.70 = 102.79 : x
  2. Step 2: Convert to fraction form
    106.84/146.70 = 102.79/x
  3. Step 3: Cross multiply
    106.84x = 146.70 × 102.79
  4. Step 4: Simplify right side
    106.84x = 15,079.29
  5. Step 5: Solve for x
    x = 15,079.29/106.84
  6. Step 6: Final answer
    x = 141.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.