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Finding the Fourth Proportional to 106.69, 147.16 and 82.09

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Solution

The fourth proportional to 106.69, 147.16 and 82.09 is: 113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.69 : 147.16 = 82.09 : x
  2. Step 2: Convert to fraction form
    106.69/147.16 = 82.09/x
  3. Step 3: Cross multiply
    106.69x = 147.16 × 82.09
  4. Step 4: Simplify right side
    106.69x = 12,080.36
  5. Step 5: Solve for x
    x = 12,080.36/106.69
  6. Step 6: Final answer
    x = 113.23

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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.