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Finding the Fourth Proportional to 110.36, 150.96 and 110.16

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Solution

The fourth proportional to 110.36, 150.96 and 110.16 is: 150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.36 : 150.96 = 110.16 : x
  2. Step 2: Convert to fraction form
    110.36/150.96 = 110.16/x
  3. Step 3: Cross multiply
    110.36x = 150.96 × 110.16
  4. Step 4: Simplify right side
    110.36x = 16,630.17
  5. Step 5: Solve for x
    x = 16,630.17/110.36
  6. Step 6: Final answer
    x = 150.69

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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.