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Finding the Fourth Proportional to 107.66, 148.91 and 106.45

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Solution

The fourth proportional to 107.66, 148.91 and 106.45 is: 147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.66 : 148.91 = 106.45 : x
  2. Step 2: Convert to fraction form
    107.66/148.91 = 106.45/x
  3. Step 3: Cross multiply
    107.66x = 148.91 × 106.45
  4. Step 4: Simplify right side
    107.66x = 15,850.56
  5. Step 5: Solve for x
    x = 15,850.56/107.66
  6. Step 6: Final answer
    x = 147.22

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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.