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Finding the Fourth Proportional to 57.10, 78.75 and 48.88

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Solution

The fourth proportional to 57.10, 78.75 and 48.88 is: 67.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.10 : 78.75 = 48.88 : x
  2. Step 2: Convert to fraction form
    57.10/78.75 = 48.88/x
  3. Step 3: Cross multiply
    57.10x = 78.75 × 48.88
  4. Step 4: Simplify right side
    57.10x = 3,849.30
  5. Step 5: Solve for x
    x = 3,849.30/57.10
  6. Step 6: Final answer
    x = 67.41

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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.