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Finding the Fourth Proportional to 21.30, 31.76 and 20.22

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Solution

The fourth proportional to 21.30, 31.76 and 20.22 is: 30.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.30 : 31.76 = 20.22 : x
  2. Step 2: Convert to fraction form
    21.30/31.76 = 20.22/x
  3. Step 3: Cross multiply
    21.30x = 31.76 × 20.22
  4. Step 4: Simplify right side
    21.30x = 642.19
  5. Step 5: Solve for x
    x = 642.19/21.30
  6. Step 6: Final answer
    x = 30.15

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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.