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Finding the Fourth Proportional to 57.42, 85.65 and 48.84

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Solution

The fourth proportional to 57.42, 85.65 and 48.84 is: 72.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.42 : 85.65 = 48.84 : x
  2. Step 2: Convert to fraction form
    57.42/85.65 = 48.84/x
  3. Step 3: Cross multiply
    57.42x = 85.65 × 48.84
  4. Step 4: Simplify right side
    57.42x = 4,183.15
  5. Step 5: Solve for x
    x = 4,183.15/57.42
  6. Step 6: Final answer
    x = 72.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.