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Finding the Fourth Proportional to 97.57, 135.25 and 94.21

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Solution

The fourth proportional to 97.57, 135.25 and 94.21 is: 130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.57 : 135.25 = 94.21 : x
  2. Step 2: Convert to fraction form
    97.57/135.25 = 94.21/x
  3. Step 3: Cross multiply
    97.57x = 135.25 × 94.21
  4. Step 4: Simplify right side
    97.57x = 12,741.90
  5. Step 5: Solve for x
    x = 12,741.90/97.57
  6. Step 6: Final answer
    x = 130.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.