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Finding the Fourth Proportional to 70.26, 97.50 and 68.24

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Solution

The fourth proportional to 70.26, 97.50 and 68.24 is: 94.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.26 : 97.50 = 68.24 : x
  2. Step 2: Convert to fraction form
    70.26/97.50 = 68.24/x
  3. Step 3: Cross multiply
    70.26x = 97.50 × 68.24
  4. Step 4: Simplify right side
    70.26x = 6,653.40
  5. Step 5: Solve for x
    x = 6,653.40/70.26
  6. Step 6: Final answer
    x = 94.70

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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.