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Finding the Fourth Proportional to 46.52, 69.86 and 31.34

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Solution

The fourth proportional to 46.52, 69.86 and 31.34 is: 47.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.52 : 69.86 = 31.34 : x
  2. Step 2: Convert to fraction form
    46.52/69.86 = 31.34/x
  3. Step 3: Cross multiply
    46.52x = 69.86 × 31.34
  4. Step 4: Simplify right side
    46.52x = 2,189.27
  5. Step 5: Solve for x
    x = 2,189.27/46.52
  6. Step 6: Final answer
    x = 47.06

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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.