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Finding the Fourth Proportional to 119.64, 179.36 and 76.28

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Solution

The fourth proportional to 119.64, 179.36 and 76.28 is: 114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.64 : 179.36 = 76.28 : x
  2. Step 2: Convert to fraction form
    119.64/179.36 = 76.28/x
  3. Step 3: Cross multiply
    119.64x = 179.36 × 76.28
  4. Step 4: Simplify right side
    119.64x = 13,680.30
  5. Step 5: Solve for x
    x = 13,680.30/119.64
  6. Step 6: Final answer
    x = 114.35

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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.