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Finding the Fourth Proportional to 120.76, 181.08 and 52.30

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Solution

The fourth proportional to 120.76, 181.08 and 52.30 is: 78.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.76 : 181.08 = 52.30 : x
  2. Step 2: Convert to fraction form
    120.76/181.08 = 52.30/x
  3. Step 3: Cross multiply
    120.76x = 181.08 × 52.30
  4. Step 4: Simplify right side
    120.76x = 9,470.48
  5. Step 5: Solve for x
    x = 9,470.48/120.76
  6. Step 6: Final answer
    x = 78.42

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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.