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Finding the Fourth Proportional to 20.02, 29.87 and 16.66

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Solution

The fourth proportional to 20.02, 29.87 and 16.66 is: 24.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.02 : 29.87 = 16.66 : x
  2. Step 2: Convert to fraction form
    20.02/29.87 = 16.66/x
  3. Step 3: Cross multiply
    20.02x = 29.87 × 16.66
  4. Step 4: Simplify right side
    20.02x = 497.63
  5. Step 5: Solve for x
    x = 497.63/20.02
  6. Step 6: Final answer
    x = 24.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.