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Finding the Fourth Proportional to 121.48, 181.77 and 106.96

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Solution

The fourth proportional to 121.48, 181.77 and 106.96 is: 160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.48 : 181.77 = 106.96 : x
  2. Step 2: Convert to fraction form
    121.48/181.77 = 106.96/x
  3. Step 3: Cross multiply
    121.48x = 181.77 × 106.96
  4. Step 4: Simplify right side
    121.48x = 19,442.12
  5. Step 5: Solve for x
    x = 19,442.12/121.48
  6. Step 6: Final answer
    x = 160.04

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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.