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Finding the Fourth Proportional to 110.06, 164.88 and 84.06

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Solution

The fourth proportional to 110.06, 164.88 and 84.06 is: 125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.06 : 164.88 = 84.06 : x
  2. Step 2: Convert to fraction form
    110.06/164.88 = 84.06/x
  3. Step 3: Cross multiply
    110.06x = 164.88 × 84.06
  4. Step 4: Simplify right side
    110.06x = 13,859.39
  5. Step 5: Solve for x
    x = 13,859.39/110.06
  6. Step 6: Final answer
    x = 125.93

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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.