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Finding the Fourth Proportional to 70.81, 105.47 and 68.24

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Solution

The fourth proportional to 70.81, 105.47 and 68.24 is: 101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.81 : 105.47 = 68.24 : x
  2. Step 2: Convert to fraction form
    70.81/105.47 = 68.24/x
  3. Step 3: Cross multiply
    70.81x = 105.47 × 68.24
  4. Step 4: Simplify right side
    70.81x = 7,197.45
  5. Step 5: Solve for x
    x = 7,197.45/70.81
  6. Step 6: Final answer
    x = 101.65

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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.