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Finding the Fourth Proportional to 73.41, 109.47 and 69.83

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Solution

The fourth proportional to 73.41, 109.47 and 69.83 is: 104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.41 : 109.47 = 69.83 : x
  2. Step 2: Convert to fraction form
    73.41/109.47 = 69.83/x
  3. Step 3: Cross multiply
    73.41x = 109.47 × 69.83
  4. Step 4: Simplify right side
    73.41x = 7,644.29
  5. Step 5: Solve for x
    x = 7,644.29/73.41
  6. Step 6: Final answer
    x = 104.13

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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.