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Finding the Fourth Proportional to 120.56, 180.78 and 52.08

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Solution

The fourth proportional to 120.56, 180.78 and 52.08 is: 78.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.56 : 180.78 = 52.08 : x
  2. Step 2: Convert to fraction form
    120.56/180.78 = 52.08/x
  3. Step 3: Cross multiply
    120.56x = 180.78 × 52.08
  4. Step 4: Simplify right side
    120.56x = 9,415.02
  5. Step 5: Solve for x
    x = 9,415.02/120.56
  6. Step 6: Final answer
    x = 78.09

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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.