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Finding the Fourth Proportional to 79.02, 108.41 and 75.24

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Solution

The fourth proportional to 79.02, 108.41 and 75.24 is: 103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.02 : 108.41 = 75.24 : x
  2. Step 2: Convert to fraction form
    79.02/108.41 = 75.24/x
  3. Step 3: Cross multiply
    79.02x = 108.41 × 75.24
  4. Step 4: Simplify right side
    79.02x = 8,156.39
  5. Step 5: Solve for x
    x = 8,156.39/79.02
  6. Step 6: Final answer
    x = 103.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.