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Finding the Fourth Proportional to 56.97, 85.46 and 31.31

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Solution

The fourth proportional to 56.97, 85.46 and 31.31 is: 46.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.97 : 85.46 = 31.31 : x
  2. Step 2: Convert to fraction form
    56.97/85.46 = 31.31/x
  3. Step 3: Cross multiply
    56.97x = 85.46 × 31.31
  4. Step 4: Simplify right side
    56.97x = 2,675.75
  5. Step 5: Solve for x
    x = 2,675.75/56.97
  6. Step 6: Final answer
    x = 46.97

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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.