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Finding the Fourth Proportional to 79.42, 119.17 and 48.97

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Solution

The fourth proportional to 79.42, 119.17 and 48.97 is: 73.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.42 : 119.17 = 48.97 : x
  2. Step 2: Convert to fraction form
    79.42/119.17 = 48.97/x
  3. Step 3: Cross multiply
    79.42x = 119.17 × 48.97
  4. Step 4: Simplify right side
    79.42x = 5,835.51
  5. Step 5: Solve for x
    x = 5,835.51/79.42
  6. Step 6: Final answer
    x = 73.48

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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.