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Finding the Fourth Proportional to 46.62, 69.58 and 41.22

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Solution

The fourth proportional to 46.62, 69.58 and 41.22 is: 61.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.62 : 69.58 = 41.22 : x
  2. Step 2: Convert to fraction form
    46.62/69.58 = 41.22/x
  3. Step 3: Cross multiply
    46.62x = 69.58 × 41.22
  4. Step 4: Simplify right side
    46.62x = 2,868.09
  5. Step 5: Solve for x
    x = 2,868.09/46.62
  6. Step 6: Final answer
    x = 61.52

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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.