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Finding the Fourth Proportional to 57.42, 85.98 and 49.70

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Solution

The fourth proportional to 57.42, 85.98 and 49.70 is: 74.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.42 : 85.98 = 49.70 : x
  2. Step 2: Convert to fraction form
    57.42/85.98 = 49.70/x
  3. Step 3: Cross multiply
    57.42x = 85.98 × 49.70
  4. Step 4: Simplify right side
    57.42x = 4,272.78
  5. Step 5: Solve for x
    x = 4,272.78/57.42
  6. Step 6: Final answer
    x = 74.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.