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Finding the Fourth Proportional to 79.76, 119.58 and 52.82

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Solution

The fourth proportional to 79.76, 119.58 and 52.82 is: 79.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.76 : 119.58 = 52.82 : x
  2. Step 2: Convert to fraction form
    79.76/119.58 = 52.82/x
  3. Step 3: Cross multiply
    79.76x = 119.58 × 52.82
  4. Step 4: Simplify right side
    79.76x = 6,316.22
  5. Step 5: Solve for x
    x = 6,316.22/79.76
  6. Step 6: Final answer
    x = 79.19

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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.