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Finding the Fourth Proportional to 29.59, 44.42 and 22.92

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Solution

The fourth proportional to 29.59, 44.42 and 22.92 is: 34.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.59 : 44.42 = 22.92 : x
  2. Step 2: Convert to fraction form
    29.59/44.42 = 22.92/x
  3. Step 3: Cross multiply
    29.59x = 44.42 × 22.92
  4. Step 4: Simplify right side
    29.59x = 1,018.11
  5. Step 5: Solve for x
    x = 1,018.11/29.59
  6. Step 6: Final answer
    x = 34.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.