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Finding the Fourth Proportional to 70.24, 105.46 and 65.78

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Solution

The fourth proportional to 70.24, 105.46 and 65.78 is: 98.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.24 : 105.46 = 65.78 : x
  2. Step 2: Convert to fraction form
    70.24/105.46 = 65.78/x
  3. Step 3: Cross multiply
    70.24x = 105.46 × 65.78
  4. Step 4: Simplify right side
    70.24x = 6,937.16
  5. Step 5: Solve for x
    x = 6,937.16/70.24
  6. Step 6: Final answer
    x = 98.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.