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Finding the Fourth Proportional to 106.87, 148.23 and 102.55

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Solution

The fourth proportional to 106.87, 148.23 and 102.55 is: 142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.87 : 148.23 = 102.55 : x
  2. Step 2: Convert to fraction form
    106.87/148.23 = 102.55/x
  3. Step 3: Cross multiply
    106.87x = 148.23 × 102.55
  4. Step 4: Simplify right side
    106.87x = 15,200.99
  5. Step 5: Solve for x
    x = 15,200.99/106.87
  6. Step 6: Final answer
    x = 142.24

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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.