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Finding the Fourth Proportional to 69.28, 103.52 and 57.12

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Solution

The fourth proportional to 69.28, 103.52 and 57.12 is: 85.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.28 : 103.52 = 57.12 : x
  2. Step 2: Convert to fraction form
    69.28/103.52 = 57.12/x
  3. Step 3: Cross multiply
    69.28x = 103.52 × 57.12
  4. Step 4: Simplify right side
    69.28x = 5,913.06
  5. Step 5: Solve for x
    x = 5,913.06/69.28
  6. Step 6: Final answer
    x = 85.35

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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.