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Finding the Fourth Proportional to 70.89, 97.85 and 50.22

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Solution

The fourth proportional to 70.89, 97.85 and 50.22 is: 69.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.89 : 97.85 = 50.22 : x
  2. Step 2: Convert to fraction form
    70.89/97.85 = 50.22/x
  3. Step 3: Cross multiply
    70.89x = 97.85 × 50.22
  4. Step 4: Simplify right side
    70.89x = 4,913.78
  5. Step 5: Solve for x
    x = 4,913.78/70.89
  6. Step 6: Final answer
    x = 69.32

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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.