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Finding the Fourth Proportional to 119.64, 164.89 and 96.40

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Solution

The fourth proportional to 119.64, 164.89 and 96.40 is: 132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.64 : 164.89 = 96.40 : x
  2. Step 2: Convert to fraction form
    119.64/164.89 = 96.40/x
  3. Step 3: Cross multiply
    119.64x = 164.89 × 96.40
  4. Step 4: Simplify right side
    119.64x = 15,895.40
  5. Step 5: Solve for x
    x = 15,895.40/119.64
  6. Step 6: Final answer
    x = 132.86

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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.