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Finding the Fourth Proportional to 79.46, 118.57 and 70.83

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Solution

The fourth proportional to 79.46, 118.57 and 70.83 is: 105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.46 : 118.57 = 70.83 : x
  2. Step 2: Convert to fraction form
    79.46/118.57 = 70.83/x
  3. Step 3: Cross multiply
    79.46x = 118.57 × 70.83
  4. Step 4: Simplify right side
    79.46x = 8,398.03
  5. Step 5: Solve for x
    x = 8,398.03/79.46
  6. Step 6: Final answer
    x = 105.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.