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Finding the Fourth Proportional to 120.78, 181.17 and 52.23

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Solution

The fourth proportional to 120.78, 181.17 and 52.23 is: 78.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.78 : 181.17 = 52.23 : x
  2. Step 2: Convert to fraction form
    120.78/181.17 = 52.23/x
  3. Step 3: Cross multiply
    120.78x = 181.17 × 52.23
  4. Step 4: Simplify right side
    120.78x = 9,462.51
  5. Step 5: Solve for x
    x = 9,462.51/120.78
  6. Step 6: Final answer
    x = 78.35

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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.