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Finding the Fourth Proportional to 73.28, 109.18 and 71.66

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Solution

The fourth proportional to 73.28, 109.18 and 71.66 is: 106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.28 : 109.18 = 71.66 : x
  2. Step 2: Convert to fraction form
    73.28/109.18 = 71.66/x
  3. Step 3: Cross multiply
    73.28x = 109.18 × 71.66
  4. Step 4: Simplify right side
    73.28x = 7,823.84
  5. Step 5: Solve for x
    x = 7,823.84/73.28
  6. Step 6: Final answer
    x = 106.77

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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.