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Finding the Fourth Proportional to 136.89, 189.02 and 116.23

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Solution

The fourth proportional to 136.89, 189.02 and 116.23 is: 160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.89 : 189.02 = 116.23 : x
  2. Step 2: Convert to fraction form
    136.89/189.02 = 116.23/x
  3. Step 3: Cross multiply
    136.89x = 189.02 × 116.23
  4. Step 4: Simplify right side
    136.89x = 21,969.21
  5. Step 5: Solve for x
    x = 21,969.21/136.89
  6. Step 6: Final answer
    x = 160.49

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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.