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Finding the Fourth Proportional to 22.51, 33.59 and 20.24

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Solution

The fourth proportional to 22.51, 33.59 and 20.24 is: 30.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.51 : 33.59 = 20.24 : x
  2. Step 2: Convert to fraction form
    22.51/33.59 = 20.24/x
  3. Step 3: Cross multiply
    22.51x = 33.59 × 20.24
  4. Step 4: Simplify right side
    22.51x = 679.86
  5. Step 5: Solve for x
    x = 679.86/22.51
  6. Step 6: Final answer
    x = 30.20

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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.