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Finding the Fourth Proportional to 73.27, 109.07 and 72.88

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Solution

The fourth proportional to 73.27, 109.07 and 72.88 is: 108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.27 : 109.07 = 72.88 : x
  2. Step 2: Convert to fraction form
    73.27/109.07 = 72.88/x
  3. Step 3: Cross multiply
    73.27x = 109.07 × 72.88
  4. Step 4: Simplify right side
    73.27x = 7,948.66
  5. Step 5: Solve for x
    x = 7,948.66/73.27
  6. Step 6: Final answer
    x = 108.49

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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.