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Finding the Fourth Proportional to 70.93, 105.73 and 69.82

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Solution

The fourth proportional to 70.93, 105.73 and 69.82 is: 104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.93 : 105.73 = 69.82 : x
  2. Step 2: Convert to fraction form
    70.93/105.73 = 69.82/x
  3. Step 3: Cross multiply
    70.93x = 105.73 × 69.82
  4. Step 4: Simplify right side
    70.93x = 7,382.02
  5. Step 5: Solve for x
    x = 7,382.02/70.93
  6. Step 6: Final answer
    x = 104.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.