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Finding the Fourth Proportional to 70.49, 105.64 and 33.93

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Solution

The fourth proportional to 70.49, 105.64 and 33.93 is: 50.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.49 : 105.64 = 33.93 : x
  2. Step 2: Convert to fraction form
    70.49/105.64 = 33.93/x
  3. Step 3: Cross multiply
    70.49x = 105.64 × 33.93
  4. Step 4: Simplify right side
    70.49x = 3,584.37
  5. Step 5: Solve for x
    x = 3,584.37/70.49
  6. Step 6: Final answer
    x = 50.85

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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.