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Finding the Fourth Proportional to 21.76, 30.02 and 13.14

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Solution

The fourth proportional to 21.76, 30.02 and 13.14 is: 18.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.76 : 30.02 = 13.14 : x
  2. Step 2: Convert to fraction form
    21.76/30.02 = 13.14/x
  3. Step 3: Cross multiply
    21.76x = 30.02 × 13.14
  4. Step 4: Simplify right side
    21.76x = 394.46
  5. Step 5: Solve for x
    x = 394.46/21.76
  6. Step 6: Final answer
    x = 18.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.