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Finding the Fourth Proportional to 97.40, 134.45 and 68.24

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Solution

The fourth proportional to 97.40, 134.45 and 68.24 is: 94.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.40 : 134.45 = 68.24 : x
  2. Step 2: Convert to fraction form
    97.40/134.45 = 68.24/x
  3. Step 3: Cross multiply
    97.40x = 134.45 × 68.24
  4. Step 4: Simplify right side
    97.40x = 9,173.85
  5. Step 5: Solve for x
    x = 9,173.85/97.40
  6. Step 6: Final answer
    x = 94.19

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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.