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Finding the Fourth Proportional to 110.20, 164.51 and 102.16

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Solution

The fourth proportional to 110.20, 164.51 and 102.16 is: 152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.20 : 164.51 = 102.16 : x
  2. Step 2: Convert to fraction form
    110.20/164.51 = 102.16/x
  3. Step 3: Cross multiply
    110.20x = 164.51 × 102.16
  4. Step 4: Simplify right side
    110.20x = 16,806.34
  5. Step 5: Solve for x
    x = 16,806.34/110.20
  6. Step 6: Final answer
    x = 152.51

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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.