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Finding the Fourth Proportional to 129.12, 192.92 and 106.03

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Solution

The fourth proportional to 129.12, 192.92 and 106.03 is: 158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.12 : 192.92 = 106.03 : x
  2. Step 2: Convert to fraction form
    129.12/192.92 = 106.03/x
  3. Step 3: Cross multiply
    129.12x = 192.92 × 106.03
  4. Step 4: Simplify right side
    129.12x = 20,455.31
  5. Step 5: Solve for x
    x = 20,455.31/129.12
  6. Step 6: Final answer
    x = 158.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.