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Finding the Fourth Proportional to 24.78, 36.96 and 22.98

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Solution

The fourth proportional to 24.78, 36.96 and 22.98 is: 34.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.78 : 36.96 = 22.98 : x
  2. Step 2: Convert to fraction form
    24.78/36.96 = 22.98/x
  3. Step 3: Cross multiply
    24.78x = 36.96 × 22.98
  4. Step 4: Simplify right side
    24.78x = 849.34
  5. Step 5: Solve for x
    x = 849.34/24.78
  6. Step 6: Final answer
    x = 34.28

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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.