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Finding the Fourth Proportional to 79.05, 109.07 and 51.42

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Solution

The fourth proportional to 79.05, 109.07 and 51.42 is: 70.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.05 : 109.07 = 51.42 : x
  2. Step 2: Convert to fraction form
    79.05/109.07 = 51.42/x
  3. Step 3: Cross multiply
    79.05x = 109.07 × 51.42
  4. Step 4: Simplify right side
    79.05x = 5,607.91
  5. Step 5: Solve for x
    x = 5,607.91/79.05
  6. Step 6: Final answer
    x = 70.94

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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.