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Finding the Fourth Proportional to 32.66, 48.98 and 20.71

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Solution

The fourth proportional to 32.66, 48.98 and 20.71 is: 31.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.66 : 48.98 = 20.71 : x
  2. Step 2: Convert to fraction form
    32.66/48.98 = 20.71/x
  3. Step 3: Cross multiply
    32.66x = 48.98 × 20.71
  4. Step 4: Simplify right side
    32.66x = 1,014.38
  5. Step 5: Solve for x
    x = 1,014.38/32.66
  6. Step 6: Final answer
    x = 31.06

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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.