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Finding the Fourth Proportional to 97.40, 135.34 and 96.24

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Solution

The fourth proportional to 97.40, 135.34 and 96.24 is: 133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.40 : 135.34 = 96.24 : x
  2. Step 2: Convert to fraction form
    97.40/135.34 = 96.24/x
  3. Step 3: Cross multiply
    97.40x = 135.34 × 96.24
  4. Step 4: Simplify right side
    97.40x = 13,025.12
  5. Step 5: Solve for x
    x = 13,025.12/97.40
  6. Step 6: Final answer
    x = 133.73

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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.