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Finding the Fourth Proportional to 57.48, 86.57 and 51.84

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Solution

The fourth proportional to 57.48, 86.57 and 51.84 is: 78.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.48 : 86.57 = 51.84 : x
  2. Step 2: Convert to fraction form
    57.48/86.57 = 51.84/x
  3. Step 3: Cross multiply
    57.48x = 86.57 × 51.84
  4. Step 4: Simplify right side
    57.48x = 4,487.53
  5. Step 5: Solve for x
    x = 4,487.53/57.48
  6. Step 6: Final answer
    x = 78.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.