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Finding the Fourth Proportional to 70.02, 104.82 and 51.69

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Solution

The fourth proportional to 70.02, 104.82 and 51.69 is: 77.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.02 : 104.82 = 51.69 : x
  2. Step 2: Convert to fraction form
    70.02/104.82 = 51.69/x
  3. Step 3: Cross multiply
    70.02x = 104.82 × 51.69
  4. Step 4: Simplify right side
    70.02x = 5,418.15
  5. Step 5: Solve for x
    x = 5,418.15/70.02
  6. Step 6: Final answer
    x = 77.38

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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.