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Finding the Fourth Proportional to 69.50, 104.16 and 31.01

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Solution

The fourth proportional to 69.50, 104.16 and 31.01 is: 46.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.50 : 104.16 = 31.01 : x
  2. Step 2: Convert to fraction form
    69.50/104.16 = 31.01/x
  3. Step 3: Cross multiply
    69.50x = 104.16 × 31.01
  4. Step 4: Simplify right side
    69.50x = 3,229.48
  5. Step 5: Solve for x
    x = 3,229.48/69.50
  6. Step 6: Final answer
    x = 46.47

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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.