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Finding the Fourth Proportional to 119.60, 165.18 and 113.84

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Solution

The fourth proportional to 119.60, 165.18 and 113.84 is: 157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.60 : 165.18 = 113.84 : x
  2. Step 2: Convert to fraction form
    119.60/165.18 = 113.84/x
  3. Step 3: Cross multiply
    119.60x = 165.18 × 113.84
  4. Step 4: Simplify right side
    119.60x = 18,804.09
  5. Step 5: Solve for x
    x = 18,804.09/119.60
  6. Step 6: Final answer
    x = 157.22

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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.