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Finding the Fourth Proportional to 57.28, 78.84 and 48.10

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Solution

The fourth proportional to 57.28, 78.84 and 48.10 is: 66.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.28 : 78.84 = 48.10 : x
  2. Step 2: Convert to fraction form
    57.28/78.84 = 48.10/x
  3. Step 3: Cross multiply
    57.28x = 78.84 × 48.10
  4. Step 4: Simplify right side
    57.28x = 3,792.20
  5. Step 5: Solve for x
    x = 3,792.20/57.28
  6. Step 6: Final answer
    x = 66.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.