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Finding the Fourth Proportional to 110.74, 152.83 and 69.33

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Solution

The fourth proportional to 110.74, 152.83 and 69.33 is: 95.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.74 : 152.83 = 69.33 : x
  2. Step 2: Convert to fraction form
    110.74/152.83 = 69.33/x
  3. Step 3: Cross multiply
    110.74x = 152.83 × 69.33
  4. Step 4: Simplify right side
    110.74x = 10,595.53
  5. Step 5: Solve for x
    x = 10,595.53/110.74
  6. Step 6: Final answer
    x = 95.68

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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.