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Finding the Fourth Proportional to 34.75, 52.13 and 15.75

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Solution

The fourth proportional to 34.75, 52.13 and 15.75 is: 23.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.75 : 52.13 = 15.75 : x
  2. Step 2: Convert to fraction form
    34.75/52.13 = 15.75/x
  3. Step 3: Cross multiply
    34.75x = 52.13 × 15.75
  4. Step 4: Simplify right side
    34.75x = 821.05
  5. Step 5: Solve for x
    x = 821.05/34.75
  6. Step 6: Final answer
    x = 23.63

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