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Finding the Fourth Proportional to 102.85, 154.15 and 57.20

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Solution

The fourth proportional to 102.85, 154.15 and 57.20 is: 85.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.85 : 154.15 = 57.20 : x
  2. Step 2: Convert to fraction form
    102.85/154.15 = 57.20/x
  3. Step 3: Cross multiply
    102.85x = 154.15 × 57.20
  4. Step 4: Simplify right side
    102.85x = 8,816.47
  5. Step 5: Solve for x
    x = 8,816.47/102.85
  6. Step 6: Final answer
    x = 85.72

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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.