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Finding the Fourth Proportional to 75, 103.46 and 69.53

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Solution

The fourth proportional to 75, 103.46 and 69.53 is: 95.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 103.46 = 69.53 : x
  2. Step 2: Convert to fraction form
    75/103.46 = 69.53/x
  3. Step 3: Cross multiply
    75x = 103.46 × 69.53
  4. Step 4: Simplify right side
    75x = 7,193.48
  5. Step 5: Solve for x
    x = 7,193.48/75
  6. Step 6: Final answer
    x = 95.91

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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.