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Finding the Fourth Proportional to 119.89, 165.56 and 113.74

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Solution

The fourth proportional to 119.89, 165.56 and 113.74 is: 157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.89 : 165.56 = 113.74 : x
  2. Step 2: Convert to fraction form
    119.89/165.56 = 113.74/x
  3. Step 3: Cross multiply
    119.89x = 165.56 × 113.74
  4. Step 4: Simplify right side
    119.89x = 18,830.43
  5. Step 5: Solve for x
    x = 18,830.43/119.89
  6. Step 6: Final answer
    x = 157.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.