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Finding the Fourth Proportional to 79.76, 119.64 and 41.23

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Solution

The fourth proportional to 79.76, 119.64 and 41.23 is: 61.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.76 : 119.64 = 41.23 : x
  2. Step 2: Convert to fraction form
    79.76/119.64 = 41.23/x
  3. Step 3: Cross multiply
    79.76x = 119.64 × 41.23
  4. Step 4: Simplify right side
    79.76x = 4,931.95
  5. Step 5: Solve for x
    x = 4,931.95/79.76
  6. Step 6: Final answer
    x = 61.83

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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.