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Finding the Fourth Proportional to 106.97, 160.36 and 72.63

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Solution

The fourth proportional to 106.97, 160.36 and 72.63 is: 108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.97 : 160.36 = 72.63 : x
  2. Step 2: Convert to fraction form
    106.97/160.36 = 72.63/x
  3. Step 3: Cross multiply
    106.97x = 160.36 × 72.63
  4. Step 4: Simplify right side
    106.97x = 11,646.77
  5. Step 5: Solve for x
    x = 11,646.77/106.97
  6. Step 6: Final answer
    x = 108.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.