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Finding the Fourth Proportional to 97.14, 133.83 and 85.38

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Solution

The fourth proportional to 97.14, 133.83 and 85.38 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.14 : 133.83 = 85.38 : x
  2. Step 2: Convert to fraction form
    97.14/133.83 = 85.38/x
  3. Step 3: Cross multiply
    97.14x = 133.83 × 85.38
  4. Step 4: Simplify right side
    97.14x = 11,426.41
  5. Step 5: Solve for x
    x = 11,426.41/97.14
  6. Step 6: Final answer
    x = 117.63

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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.