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Finding the Fourth Proportional to 28.00, 42.14 and 21.61

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Solution

The fourth proportional to 28.00, 42.14 and 21.61 is: 32.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.00 : 42.14 = 21.61 : x
  2. Step 2: Convert to fraction form
    28.00/42.14 = 21.61/x
  3. Step 3: Cross multiply
    28.00x = 42.14 × 21.61
  4. Step 4: Simplify right side
    28.00x = 910.70
  5. Step 5: Solve for x
    x = 910.70/28.00
  6. Step 6: Final answer
    x = 32.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.