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Finding the Fourth Proportional to 24.14, 35.91 and 22.70

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Solution

The fourth proportional to 24.14, 35.91 and 22.70 is: 33.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.14 : 35.91 = 22.70 : x
  2. Step 2: Convert to fraction form
    24.14/35.91 = 22.70/x
  3. Step 3: Cross multiply
    24.14x = 35.91 × 22.70
  4. Step 4: Simplify right side
    24.14x = 814.98
  5. Step 5: Solve for x
    x = 814.98/24.14
  6. Step 6: Final answer
    x = 33.77

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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.