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Finding the Fourth Proportional to 134.09, 184.80 and 116.49

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Solution

The fourth proportional to 134.09, 184.80 and 116.49 is: 160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.09 : 184.80 = 116.49 : x
  2. Step 2: Convert to fraction form
    134.09/184.80 = 116.49/x
  3. Step 3: Cross multiply
    134.09x = 184.80 × 116.49
  4. Step 4: Simplify right side
    134.09x = 21,527.35
  5. Step 5: Solve for x
    x = 21,527.35/134.09
  6. Step 6: Final answer
    x = 160.55

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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.