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Finding the Fourth Proportional to 106.11, 146.50 and 102.93

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Solution

The fourth proportional to 106.11, 146.50 and 102.93 is: 142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.11 : 146.50 = 102.93 : x
  2. Step 2: Convert to fraction form
    106.11/146.50 = 102.93/x
  3. Step 3: Cross multiply
    106.11x = 146.50 × 102.93
  4. Step 4: Simplify right side
    106.11x = 15,079.25
  5. Step 5: Solve for x
    x = 15,079.25/106.11
  6. Step 6: Final answer
    x = 142.11

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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.