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Finding the Fourth Proportional to 22.14, 30.59 and 19.71

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Solution

The fourth proportional to 22.14, 30.59 and 19.71 is: 27.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.14 : 30.59 = 19.71 : x
  2. Step 2: Convert to fraction form
    22.14/30.59 = 19.71/x
  3. Step 3: Cross multiply
    22.14x = 30.59 × 19.71
  4. Step 4: Simplify right side
    22.14x = 602.83
  5. Step 5: Solve for x
    x = 602.83/22.14
  6. Step 6: Final answer
    x = 27.23

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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.