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Finding the Fourth Proportional to 73.14, 109.61 and 52.54

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Solution

The fourth proportional to 73.14, 109.61 and 52.54 is: 78.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.14 : 109.61 = 52.54 : x
  2. Step 2: Convert to fraction form
    73.14/109.61 = 52.54/x
  3. Step 3: Cross multiply
    73.14x = 109.61 × 52.54
  4. Step 4: Simplify right side
    73.14x = 5,758.91
  5. Step 5: Solve for x
    x = 5,758.91/73.14
  6. Step 6: Final answer
    x = 78.74

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