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Finding the Fourth Proportional to 46.10, 63.52 and 37.94

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Solution

The fourth proportional to 46.10, 63.52 and 37.94 is: 52.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.10 : 63.52 = 37.94 : x
  2. Step 2: Convert to fraction form
    46.10/63.52 = 37.94/x
  3. Step 3: Cross multiply
    46.10x = 63.52 × 37.94
  4. Step 4: Simplify right side
    46.10x = 2,409.54
  5. Step 5: Solve for x
    x = 2,409.54/46.10
  6. Step 6: Final answer
    x = 52.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.