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Finding the Fourth Proportional to 29.63, 44.25 and 26.22

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Solution

The fourth proportional to 29.63, 44.25 and 26.22 is: 39.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.63 : 44.25 = 26.22 : x
  2. Step 2: Convert to fraction form
    29.63/44.25 = 26.22/x
  3. Step 3: Cross multiply
    29.63x = 44.25 × 26.22
  4. Step 4: Simplify right side
    29.63x = 1,160.30
  5. Step 5: Solve for x
    x = 1,160.30/29.63
  6. Step 6: Final answer
    x = 39.16

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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.