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Finding the Fourth Proportional to 119.35, 178.97 and 64.48

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Solution

The fourth proportional to 119.35, 178.97 and 64.48 is: 96.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.35 : 178.97 = 64.48 : x
  2. Step 2: Convert to fraction form
    119.35/178.97 = 64.48/x
  3. Step 3: Cross multiply
    119.35x = 178.97 × 64.48
  4. Step 4: Simplify right side
    119.35x = 11,539.09
  5. Step 5: Solve for x
    x = 11,539.09/119.35
  6. Step 6: Final answer
    x = 96.69

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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.