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Finding the Fourth Proportional to 120.52, 180.78 and 35.02

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Solution

The fourth proportional to 120.52, 180.78 and 35.02 is: 52.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.52 : 180.78 = 35.02 : x
  2. Step 2: Convert to fraction form
    120.52/180.78 = 35.02/x
  3. Step 3: Cross multiply
    120.52x = 180.78 × 35.02
  4. Step 4: Simplify right side
    120.52x = 6,330.92
  5. Step 5: Solve for x
    x = 6,330.92/120.52
  6. Step 6: Final answer
    x = 52.53

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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.