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Finding the Fourth Proportional to 70.81, 97.71 and 43.21

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Solution

The fourth proportional to 70.81, 97.71 and 43.21 is: 59.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.81 : 97.71 = 43.21 : x
  2. Step 2: Convert to fraction form
    70.81/97.71 = 43.21/x
  3. Step 3: Cross multiply
    70.81x = 97.71 × 43.21
  4. Step 4: Simplify right side
    70.81x = 4,222.05
  5. Step 5: Solve for x
    x = 4,222.05/70.81
  6. Step 6: Final answer
    x = 59.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.