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Finding the Fourth Proportional to 110.66, 152.75 and 69.23

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Solution

The fourth proportional to 110.66, 152.75 and 69.23 is: 95.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.66 : 152.75 = 69.23 : x
  2. Step 2: Convert to fraction form
    110.66/152.75 = 69.23/x
  3. Step 3: Cross multiply
    110.66x = 152.75 × 69.23
  4. Step 4: Simplify right side
    110.66x = 10,573.77
  5. Step 5: Solve for x
    x = 10,573.77/110.66
  6. Step 6: Final answer
    x = 95.56

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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.