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Finding the Fourth Proportional to 73.23, 109.13 and 69.31

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Solution

The fourth proportional to 73.23, 109.13 and 69.31 is: 103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.23 : 109.13 = 69.31 : x
  2. Step 2: Convert to fraction form
    73.23/109.13 = 69.31/x
  3. Step 3: Cross multiply
    73.23x = 109.13 × 69.31
  4. Step 4: Simplify right side
    73.23x = 7,563.80
  5. Step 5: Solve for x
    x = 7,563.80/73.23
  6. Step 6: Final answer
    x = 103.29

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