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Finding the Fourth Proportional to 110.25, 152.24 and 85.82

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Solution

The fourth proportional to 110.25, 152.24 and 85.82 is: 118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.25 : 152.24 = 85.82 : x
  2. Step 2: Convert to fraction form
    110.25/152.24 = 85.82/x
  3. Step 3: Cross multiply
    110.25x = 152.24 × 85.82
  4. Step 4: Simplify right side
    110.25x = 13,064.05
  5. Step 5: Solve for x
    x = 13,064.05/110.25
  6. Step 6: Final answer
    x = 118.49

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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.