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Finding the Fourth Proportional to 110.02, 164.76 and 83.14

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Solution

The fourth proportional to 110.02, 164.76 and 83.14 is: 124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.02 : 164.76 = 83.14 : x
  2. Step 2: Convert to fraction form
    110.02/164.76 = 83.14/x
  3. Step 3: Cross multiply
    110.02x = 164.76 × 83.14
  4. Step 4: Simplify right side
    110.02x = 13,698.15
  5. Step 5: Solve for x
    x = 13,698.15/110.02
  6. Step 6: Final answer
    x = 124.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.