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Finding the Fourth Proportional to 34.56, 52.11 and 29.25

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Solution

The fourth proportional to 34.56, 52.11 and 29.25 is: 44.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.56 : 52.11 = 29.25 : x
  2. Step 2: Convert to fraction form
    34.56/52.11 = 29.25/x
  3. Step 3: Cross multiply
    34.56x = 52.11 × 29.25
  4. Step 4: Simplify right side
    34.56x = 1,524.22
  5. Step 5: Solve for x
    x = 1,524.22/34.56
  6. Step 6: Final answer
    x = 44.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.