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Finding the Fourth Proportional to 134.78, 185.89 and 114.17

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Solution

The fourth proportional to 134.78, 185.89 and 114.17 is: 157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.78 : 185.89 = 114.17 : x
  2. Step 2: Convert to fraction form
    134.78/185.89 = 114.17/x
  3. Step 3: Cross multiply
    134.78x = 185.89 × 114.17
  4. Step 4: Simplify right side
    134.78x = 21,221.85
  5. Step 5: Solve for x
    x = 21,221.85/134.78
  6. Step 6: Final answer
    x = 157.46

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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.