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Finding the Fourth Proportional to 32.91, 49.37 and 20.90

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Solution

The fourth proportional to 32.91, 49.37 and 20.90 is: 31.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.91 : 49.37 = 20.90 : x
  2. Step 2: Convert to fraction form
    32.91/49.37 = 20.90/x
  3. Step 3: Cross multiply
    32.91x = 49.37 × 20.90
  4. Step 4: Simplify right side
    32.91x = 1,031.48
  5. Step 5: Solve for x
    x = 1,031.48/32.91
  6. Step 6: Final answer
    x = 31.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.