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Finding the Fourth Proportional to 24.04, 35.85 and 22.89

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Solution

The fourth proportional to 24.04, 35.85 and 22.89 is: 34.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.04 : 35.85 = 22.89 : x
  2. Step 2: Convert to fraction form
    24.04/35.85 = 22.89/x
  3. Step 3: Cross multiply
    24.04x = 35.85 × 22.89
  4. Step 4: Simplify right side
    24.04x = 820.83
  5. Step 5: Solve for x
    x = 820.83/24.04
  6. Step 6: Final answer
    x = 34.14

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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.