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Finding the Fourth Proportional to 134.18, 184.75 and 116.66

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Solution

The fourth proportional to 134.18, 184.75 and 116.66 is: 160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.18 : 184.75 = 116.66 : x
  2. Step 2: Convert to fraction form
    134.18/184.75 = 116.66/x
  3. Step 3: Cross multiply
    134.18x = 184.75 × 116.66
  4. Step 4: Simplify right side
    134.18x = 21,552.94
  5. Step 5: Solve for x
    x = 21,552.94/134.18
  6. Step 6: Final answer
    x = 160.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.