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Finding the Fourth Proportional to 97.00, 144.67 and 94.97

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Solution

The fourth proportional to 97.00, 144.67 and 94.97 is: 141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.00 : 144.67 = 94.97 : x
  2. Step 2: Convert to fraction form
    97.00/144.67 = 94.97/x
  3. Step 3: Cross multiply
    97.00x = 144.67 × 94.97
  4. Step 4: Simplify right side
    97.00x = 13,739.61
  5. Step 5: Solve for x
    x = 13,739.61/97.00
  6. Step 6: Final answer
    x = 141.65

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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.