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Finding the Fourth Proportional to 110.76, 165.46 and 110.16

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Solution

The fourth proportional to 110.76, 165.46 and 110.16 is: 164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.76 : 165.46 = 110.16 : x
  2. Step 2: Convert to fraction form
    110.76/165.46 = 110.16/x
  3. Step 3: Cross multiply
    110.76x = 165.46 × 110.16
  4. Step 4: Simplify right side
    110.76x = 18,227.07
  5. Step 5: Solve for x
    x = 18,227.07/110.76
  6. Step 6: Final answer
    x = 164.56

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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.