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Finding the Fourth Proportional to 134.75, 186.02 and 116.52

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Solution

The fourth proportional to 134.75, 186.02 and 116.52 is: 160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.75 : 186.02 = 116.52 : x
  2. Step 2: Convert to fraction form
    134.75/186.02 = 116.52/x
  3. Step 3: Cross multiply
    134.75x = 186.02 × 116.52
  4. Step 4: Simplify right side
    134.75x = 21,674.47
  5. Step 5: Solve for x
    x = 21,674.47/134.75
  6. Step 6: Final answer
    x = 160.86

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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.