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Finding the Fourth Proportional to 109.02, 149.42 and 107.13

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Solution

The fourth proportional to 109.02, 149.42 and 107.13 is: 146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.02 : 149.42 = 107.13 : x
  2. Step 2: Convert to fraction form
    109.02/149.42 = 107.13/x
  3. Step 3: Cross multiply
    109.02x = 149.42 × 107.13
  4. Step 4: Simplify right side
    109.02x = 16,006.83
  5. Step 5: Solve for x
    x = 16,006.83/109.02
  6. Step 6: Final answer
    x = 146.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.