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Finding the Fourth Proportional to 154.92, 213.12 and 130.20

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Solution

The fourth proportional to 154.92, 213.12 and 130.20 is: 179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.92 : 213.12 = 130.20 : x
  2. Step 2: Convert to fraction form
    154.92/213.12 = 130.20/x
  3. Step 3: Cross multiply
    154.92x = 213.12 × 130.20
  4. Step 4: Simplify right side
    154.92x = 27,748.22
  5. Step 5: Solve for x
    x = 27,748.22/154.92
  6. Step 6: Final answer
    x = 179.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.