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Finding the Fourth Proportional to 110.10, 164.22 and 102.54

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Solution

The fourth proportional to 110.10, 164.22 and 102.54 is: 152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.10 : 164.22 = 102.54 : x
  2. Step 2: Convert to fraction form
    110.10/164.22 = 102.54/x
  3. Step 3: Cross multiply
    110.10x = 164.22 × 102.54
  4. Step 4: Simplify right side
    110.10x = 16,839.12
  5. Step 5: Solve for x
    x = 16,839.12/110.10
  6. Step 6: Final answer
    x = 152.94

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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.