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Finding the Fourth Proportional to 46.35, 69.22 and 38.75

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Solution

The fourth proportional to 46.35, 69.22 and 38.75 is: 57.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.35 : 69.22 = 38.75 : x
  2. Step 2: Convert to fraction form
    46.35/69.22 = 38.75/x
  3. Step 3: Cross multiply
    46.35x = 69.22 × 38.75
  4. Step 4: Simplify right side
    46.35x = 2,681.98
  5. Step 5: Solve for x
    x = 2,681.98/46.35
  6. Step 6: Final answer
    x = 57.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.