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Finding the Fourth Proportional to 57.31, 85.91 and 52.29

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Solution

The fourth proportional to 57.31, 85.91 and 52.29 is: 78.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.31 : 85.91 = 52.29 : x
  2. Step 2: Convert to fraction form
    57.31/85.91 = 52.29/x
  3. Step 3: Cross multiply
    57.31x = 85.91 × 52.29
  4. Step 4: Simplify right side
    57.31x = 4,492.23
  5. Step 5: Solve for x
    x = 4,492.23/57.31
  6. Step 6: Final answer
    x = 78.39

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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.