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Finding the Fourth Proportional to 20.78, 31.06 and 16.22

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Solution

The fourth proportional to 20.78, 31.06 and 16.22 is: 24.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.78 : 31.06 = 16.22 : x
  2. Step 2: Convert to fraction form
    20.78/31.06 = 16.22/x
  3. Step 3: Cross multiply
    20.78x = 31.06 × 16.22
  4. Step 4: Simplify right side
    20.78x = 503.79
  5. Step 5: Solve for x
    x = 503.79/20.78
  6. Step 6: Final answer
    x = 24.24

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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.