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Finding the Fourth Proportional to 110.52, 151.40 and 107.04

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Solution

The fourth proportional to 110.52, 151.40 and 107.04 is: 146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.52 : 151.40 = 107.04 : x
  2. Step 2: Convert to fraction form
    110.52/151.40 = 107.04/x
  3. Step 3: Cross multiply
    110.52x = 151.40 × 107.04
  4. Step 4: Simplify right side
    110.52x = 16,205.32
  5. Step 5: Solve for x
    x = 16,205.32/110.52
  6. Step 6: Final answer
    x = 146.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.