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Finding the Fourth Proportional to 29.76, 41.08 and 29.22

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Solution

The fourth proportional to 29.76, 41.08 and 29.22 is: 40.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.76 : 41.08 = 29.22 : x
  2. Step 2: Convert to fraction form
    29.76/41.08 = 29.22/x
  3. Step 3: Cross multiply
    29.76x = 41.08 × 29.22
  4. Step 4: Simplify right side
    29.76x = 1,200.36
  5. Step 5: Solve for x
    x = 1,200.36/29.76
  6. Step 6: Final answer
    x = 40.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.