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Finding the Fourth Proportional to 119.58, 164.86 and 102.02

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Solution

The fourth proportional to 119.58, 164.86 and 102.02 is: 140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.58 : 164.86 = 102.02 : x
  2. Step 2: Convert to fraction form
    119.58/164.86 = 102.02/x
  3. Step 3: Cross multiply
    119.58x = 164.86 × 102.02
  4. Step 4: Simplify right side
    119.58x = 16,819.38
  5. Step 5: Solve for x
    x = 16,819.38/119.58
  6. Step 6: Final answer
    x = 140.65

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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.