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Finding the Fourth Proportional to 111.41, 166.43 and 97.02

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Solution

The fourth proportional to 111.41, 166.43 and 97.02 is: 144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.41 : 166.43 = 97.02 : x
  2. Step 2: Convert to fraction form
    111.41/166.43 = 97.02/x
  3. Step 3: Cross multiply
    111.41x = 166.43 × 97.02
  4. Step 4: Simplify right side
    111.41x = 16,147.28
  5. Step 5: Solve for x
    x = 16,147.28/111.41
  6. Step 6: Final answer
    x = 144.94

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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.