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Finding the Fourth Proportional to 110.70, 165.38 and 110.16

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Solution

The fourth proportional to 110.70, 165.38 and 110.16 is: 164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.70 : 165.38 = 110.16 : x
  2. Step 2: Convert to fraction form
    110.70/165.38 = 110.16/x
  3. Step 3: Cross multiply
    110.70x = 165.38 × 110.16
  4. Step 4: Simplify right side
    110.70x = 18,217.71
  5. Step 5: Solve for x
    x = 18,217.71/110.70
  6. Step 6: Final answer
    x = 164.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.