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Finding the Fourth Proportional to 70.40, 97.24 and 49.78

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Solution

The fourth proportional to 70.40, 97.24 and 49.78 is: 68.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.40 : 97.24 = 49.78 : x
  2. Step 2: Convert to fraction form
    70.40/97.24 = 49.78/x
  3. Step 3: Cross multiply
    70.40x = 97.24 × 49.78
  4. Step 4: Simplify right side
    70.40x = 4,840.84
  5. Step 5: Solve for x
    x = 4,840.84/70.40
  6. Step 6: Final answer
    x = 68.76

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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.