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Finding the Fourth Proportional to 46.23, 69.27 and 41.53

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Solution

The fourth proportional to 46.23, 69.27 and 41.53 is: 62.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.23 : 69.27 = 41.53 : x
  2. Step 2: Convert to fraction form
    46.23/69.27 = 41.53/x
  3. Step 3: Cross multiply
    46.23x = 69.27 × 41.53
  4. Step 4: Simplify right side
    46.23x = 2,876.78
  5. Step 5: Solve for x
    x = 2,876.78/46.23
  6. Step 6: Final answer
    x = 62.23

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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.