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Finding the Fourth Proportional to 57.52, 86.23 and 27.06

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Solution

The fourth proportional to 57.52, 86.23 and 27.06 is: 40.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.52 : 86.23 = 27.06 : x
  2. Step 2: Convert to fraction form
    57.52/86.23 = 27.06/x
  3. Step 3: Cross multiply
    57.52x = 86.23 × 27.06
  4. Step 4: Simplify right side
    57.52x = 2,333.38
  5. Step 5: Solve for x
    x = 2,333.38/57.52
  6. Step 6: Final answer
    x = 40.57

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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.