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Finding the Fourth Proportional to 107.66, 149.36 and 106.74

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Solution

The fourth proportional to 107.66, 149.36 and 106.74 is: 148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.66 : 149.36 = 106.74 : x
  2. Step 2: Convert to fraction form
    107.66/149.36 = 106.74/x
  3. Step 3: Cross multiply
    107.66x = 149.36 × 106.74
  4. Step 4: Simplify right side
    107.66x = 15,942.69
  5. Step 5: Solve for x
    x = 15,942.69/107.66
  6. Step 6: Final answer
    x = 148.08

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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.