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Finding the Fourth Proportional to 46.10, 69.01 and 31.62

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Solution

The fourth proportional to 46.10, 69.01 and 31.62 is: 47.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.10 : 69.01 = 31.62 : x
  2. Step 2: Convert to fraction form
    46.10/69.01 = 31.62/x
  3. Step 3: Cross multiply
    46.10x = 69.01 × 31.62
  4. Step 4: Simplify right side
    46.10x = 2,182.02
  5. Step 5: Solve for x
    x = 2,182.02/46.10
  6. Step 6: Final answer
    x = 47.33

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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.