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Finding the Fourth Proportional to 121.59, 181.15 and 114.14

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Solution

The fourth proportional to 121.59, 181.15 and 114.14 is: 170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.59 : 181.15 = 114.14 : x
  2. Step 2: Convert to fraction form
    121.59/181.15 = 114.14/x
  3. Step 3: Cross multiply
    121.59x = 181.15 × 114.14
  4. Step 4: Simplify right side
    121.59x = 20,676.63
  5. Step 5: Solve for x
    x = 20,676.63/121.59
  6. Step 6: Final answer
    x = 170.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.