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Finding the Fourth Proportional to 79.40, 109.57 and 46.22

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Solution

The fourth proportional to 79.40, 109.57 and 46.22 is: 63.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.40 : 109.57 = 46.22 : x
  2. Step 2: Convert to fraction form
    79.40/109.57 = 46.22/x
  3. Step 3: Cross multiply
    79.40x = 109.57 × 46.22
  4. Step 4: Simplify right side
    79.40x = 5,063.66
  5. Step 5: Solve for x
    x = 5,063.66/79.40
  6. Step 6: Final answer
    x = 63.78

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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.