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Finding the Fourth Proportional to 119.22, 164.75 and 88.17

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Solution

The fourth proportional to 119.22, 164.75 and 88.17 is: 121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.22 : 164.75 = 88.17 : x
  2. Step 2: Convert to fraction form
    119.22/164.75 = 88.17/x
  3. Step 3: Cross multiply
    119.22x = 164.75 × 88.17
  4. Step 4: Simplify right side
    119.22x = 14,525.57
  5. Step 5: Solve for x
    x = 14,525.57/119.22
  6. Step 6: Final answer
    x = 121.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.