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Finding the Fourth Proportional to 120.84, 181.16 and 52.34

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Solution

The fourth proportional to 120.84, 181.16 and 52.34 is: 78.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.84 : 181.16 = 52.34 : x
  2. Step 2: Convert to fraction form
    120.84/181.16 = 52.34/x
  3. Step 3: Cross multiply
    120.84x = 181.16 × 52.34
  4. Step 4: Simplify right side
    120.84x = 9,481.91
  5. Step 5: Solve for x
    x = 9,481.91/120.84
  6. Step 6: Final answer
    x = 78.47

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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.