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Finding the Fourth Proportional to 119.24, 164.44 and 89.60

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Solution

The fourth proportional to 119.24, 164.44 and 89.60 is: 123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.24 : 164.44 = 89.60 : x
  2. Step 2: Convert to fraction form
    119.24/164.44 = 89.60/x
  3. Step 3: Cross multiply
    119.24x = 164.44 × 89.60
  4. Step 4: Simplify right side
    119.24x = 14,733.82
  5. Step 5: Solve for x
    x = 14,733.82/119.24
  6. Step 6: Final answer
    x = 123.56

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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.