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Finding the Fourth Proportional to 70.57, 105.81 and 46.48

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Solution

The fourth proportional to 70.57, 105.81 and 46.48 is: 69.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.57 : 105.81 = 46.48 : x
  2. Step 2: Convert to fraction form
    70.57/105.81 = 46.48/x
  3. Step 3: Cross multiply
    70.57x = 105.81 × 46.48
  4. Step 4: Simplify right side
    70.57x = 4,918.05
  5. Step 5: Solve for x
    x = 4,918.05/70.57
  6. Step 6: Final answer
    x = 69.69

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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.