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Finding the Fourth Proportional to 75.29, 103.52 and 69.48

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Solution

The fourth proportional to 75.29, 103.52 and 69.48 is: 95.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.29 : 103.52 = 69.48 : x
  2. Step 2: Convert to fraction form
    75.29/103.52 = 69.48/x
  3. Step 3: Cross multiply
    75.29x = 103.52 × 69.48
  4. Step 4: Simplify right side
    75.29x = 7,192.22
  5. Step 5: Solve for x
    x = 7,192.22/75.29
  6. Step 6: Final answer
    x = 95.53

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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.