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Finding the Fourth Proportional to 29.64, 44.40 and 22.56

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Solution

The fourth proportional to 29.64, 44.40 and 22.56 is: 33.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.64 : 44.40 = 22.56 : x
  2. Step 2: Convert to fraction form
    29.64/44.40 = 22.56/x
  3. Step 3: Cross multiply
    29.64x = 44.40 × 22.56
  4. Step 4: Simplify right side
    29.64x = 1,001.66
  5. Step 5: Solve for x
    x = 1,001.66/29.64
  6. Step 6: Final answer
    x = 33.79

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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.