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Finding the Fourth Proportional to 56.71, 84.98 and 32.31

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Solution

The fourth proportional to 56.71, 84.98 and 32.31 is: 48.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.71 : 84.98 = 32.31 : x
  2. Step 2: Convert to fraction form
    56.71/84.98 = 32.31/x
  3. Step 3: Cross multiply
    56.71x = 84.98 × 32.31
  4. Step 4: Simplify right side
    56.71x = 2,745.70
  5. Step 5: Solve for x
    x = 2,745.70/56.71
  6. Step 6: Final answer
    x = 48.42

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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.