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Finding the Fourth Proportional to 22.81, 31.50 and 20.07

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Solution

The fourth proportional to 22.81, 31.50 and 20.07 is: 27.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.81 : 31.50 = 20.07 : x
  2. Step 2: Convert to fraction form
    22.81/31.50 = 20.07/x
  3. Step 3: Cross multiply
    22.81x = 31.50 × 20.07
  4. Step 4: Simplify right side
    22.81x = 632.21
  5. Step 5: Solve for x
    x = 632.21/22.81
  6. Step 6: Final answer
    x = 27.72

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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.