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Finding the Fourth Proportional to 110.25, 152.25 and 105.66

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Solution

The fourth proportional to 110.25, 152.25 and 105.66 is: 145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.25 : 152.25 = 105.66 : x
  2. Step 2: Convert to fraction form
    110.25/152.25 = 105.66/x
  3. Step 3: Cross multiply
    110.25x = 152.25 × 105.66
  4. Step 4: Simplify right side
    110.25x = 16,086.74
  5. Step 5: Solve for x
    x = 16,086.74/110.25
  6. Step 6: Final answer
    x = 145.91

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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.