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Finding the Fourth Proportional to 70, 104.96 and 31.46

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Solution

The fourth proportional to 70, 104.96 and 31.46 is: 47.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70 : 104.96 = 31.46 : x
  2. Step 2: Convert to fraction form
    70/104.96 = 31.46/x
  3. Step 3: Cross multiply
    70x = 104.96 × 31.46
  4. Step 4: Simplify right side
    70x = 3,302.04
  5. Step 5: Solve for x
    x = 3,302.04/70
  6. Step 6: Final answer
    x = 47.17

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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.