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Finding the Fourth Proportional to 120.64, 180.81 and 52.12

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Solution

The fourth proportional to 120.64, 180.81 and 52.12 is: 78.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.64 : 180.81 = 52.12 : x
  2. Step 2: Convert to fraction form
    120.64/180.81 = 52.12/x
  3. Step 3: Cross multiply
    120.64x = 180.81 × 52.12
  4. Step 4: Simplify right side
    120.64x = 9,423.82
  5. Step 5: Solve for x
    x = 9,423.82/120.64
  6. Step 6: Final answer
    x = 78.12

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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.