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Finding the Fourth Proportional to 32.05, 48.01 and 19.97

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Solution

The fourth proportional to 32.05, 48.01 and 19.97 is: 29.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.05 : 48.01 = 19.97 : x
  2. Step 2: Convert to fraction form
    32.05/48.01 = 19.97/x
  3. Step 3: Cross multiply
    32.05x = 48.01 × 19.97
  4. Step 4: Simplify right side
    32.05x = 958.76
  5. Step 5: Solve for x
    x = 958.76/32.05
  6. Step 6: Final answer
    x = 29.91

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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.