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Finding the Fourth Proportional to 34.83, 52.25 and 23.51

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Solution

The fourth proportional to 34.83, 52.25 and 23.51 is: 35.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.83 : 52.25 = 23.51 : x
  2. Step 2: Convert to fraction form
    34.83/52.25 = 23.51/x
  3. Step 3: Cross multiply
    34.83x = 52.25 × 23.51
  4. Step 4: Simplify right side
    34.83x = 1,228.12
  5. Step 5: Solve for x
    x = 1,228.12/34.83
  6. Step 6: Final answer
    x = 35.26

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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.