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Finding the Fourth Proportional to 106.81, 148.43 and 105.52

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Solution

The fourth proportional to 106.81, 148.43 and 105.52 is: 146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.81 : 148.43 = 105.52 : x
  2. Step 2: Convert to fraction form
    106.81/148.43 = 105.52/x
  3. Step 3: Cross multiply
    106.81x = 148.43 × 105.52
  4. Step 4: Simplify right side
    106.81x = 15,662.33
  5. Step 5: Solve for x
    x = 15,662.33/106.81
  6. Step 6: Final answer
    x = 146.64

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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.