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Finding the Fourth Proportional to 134.89, 185.94 and 113.02

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Solution

The fourth proportional to 134.89, 185.94 and 113.02 is: 155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.89 : 185.94 = 113.02 : x
  2. Step 2: Convert to fraction form
    134.89/185.94 = 113.02/x
  3. Step 3: Cross multiply
    134.89x = 185.94 × 113.02
  4. Step 4: Simplify right side
    134.89x = 21,014.94
  5. Step 5: Solve for x
    x = 21,014.94/134.89
  6. Step 6: Final answer
    x = 155.79

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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.