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Finding the Fourth Proportional to 21.84, 30.16 and 21.10

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Solution

The fourth proportional to 21.84, 30.16 and 21.10 is: 29.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.84 : 30.16 = 21.10 : x
  2. Step 2: Convert to fraction form
    21.84/30.16 = 21.10/x
  3. Step 3: Cross multiply
    21.84x = 30.16 × 21.10
  4. Step 4: Simplify right side
    21.84x = 636.38
  5. Step 5: Solve for x
    x = 636.38/21.84
  6. Step 6: Final answer
    x = 29.14

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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.