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Finding the Fourth Proportional to 79.77, 119.64 and 49.52

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Solution

The fourth proportional to 79.77, 119.64 and 49.52 is: 74.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.77 : 119.64 = 49.52 : x
  2. Step 2: Convert to fraction form
    79.77/119.64 = 49.52/x
  3. Step 3: Cross multiply
    79.77x = 119.64 × 49.52
  4. Step 4: Simplify right side
    79.77x = 5,924.96
  5. Step 5: Solve for x
    x = 5,924.96/79.77
  6. Step 6: Final answer
    x = 74.28

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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.