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Finding the Fourth Proportional to 57.48, 86.14 and 30.42

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Solution

The fourth proportional to 57.48, 86.14 and 30.42 is: 45.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.48 : 86.14 = 30.42 : x
  2. Step 2: Convert to fraction form
    57.48/86.14 = 30.42/x
  3. Step 3: Cross multiply
    57.48x = 86.14 × 30.42
  4. Step 4: Simplify right side
    57.48x = 2,620.38
  5. Step 5: Solve for x
    x = 2,620.38/57.48
  6. Step 6: Final answer
    x = 45.59

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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.