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Finding the Fourth Proportional to 23.65, 32.63 and 22.21

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Solution

The fourth proportional to 23.65, 32.63 and 22.21 is: 30.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.65 : 32.63 = 22.21 : x
  2. Step 2: Convert to fraction form
    23.65/32.63 = 22.21/x
  3. Step 3: Cross multiply
    23.65x = 32.63 × 22.21
  4. Step 4: Simplify right side
    23.65x = 724.52
  5. Step 5: Solve for x
    x = 724.52/23.65
  6. Step 6: Final answer
    x = 30.64

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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.