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Finding the Fourth Proportional to 97.11, 133.86 and 66.02

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Solution

The fourth proportional to 97.11, 133.86 and 66.02 is: 90.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.11 : 133.86 = 66.02 : x
  2. Step 2: Convert to fraction form
    97.11/133.86 = 66.02/x
  3. Step 3: Cross multiply
    97.11x = 133.86 × 66.02
  4. Step 4: Simplify right side
    97.11x = 8,836.52
  5. Step 5: Solve for x
    x = 8,836.52/97.11
  6. Step 6: Final answer
    x = 90.99

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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.