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Finding the Fourth Proportional to 24.01, 35.76 and 22.63

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Solution

The fourth proportional to 24.01, 35.76 and 22.63 is: 33.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.01 : 35.76 = 22.63 : x
  2. Step 2: Convert to fraction form
    24.01/35.76 = 22.63/x
  3. Step 3: Cross multiply
    24.01x = 35.76 × 22.63
  4. Step 4: Simplify right side
    24.01x = 809.25
  5. Step 5: Solve for x
    x = 809.25/24.01
  6. Step 6: Final answer
    x = 33.70

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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.