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Finding the Fourth Proportional to 57.24, 78.96 and 49.16

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Solution

The fourth proportional to 57.24, 78.96 and 49.16 is: 67.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.24 : 78.96 = 49.16 : x
  2. Step 2: Convert to fraction form
    57.24/78.96 = 49.16/x
  3. Step 3: Cross multiply
    57.24x = 78.96 × 49.16
  4. Step 4: Simplify right side
    57.24x = 3,881.67
  5. Step 5: Solve for x
    x = 3,881.67/57.24
  6. Step 6: Final answer
    x = 67.81

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Why These Related Problems?

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