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Finding the Fourth Proportional to 252.36, 378.54 and 69.77

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Solution

The fourth proportional to 252.36, 378.54 and 69.77 is: 104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.36 : 378.54 = 69.77 : x
  2. Step 2: Convert to fraction form
    252.36/378.54 = 69.77/x
  3. Step 3: Cross multiply
    252.36x = 378.54 × 69.77
  4. Step 4: Simplify right side
    252.36x = 26,408.84
  5. Step 5: Solve for x
    x = 26,408.84/252.36
  6. Step 6: Final answer
    x = 104.65

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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.