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Finding the Fourth Proportional to 116.41, 160.54 and 83.15

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Solution

The fourth proportional to 116.41, 160.54 and 83.15 is: 114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.41 : 160.54 = 83.15 : x
  2. Step 2: Convert to fraction form
    116.41/160.54 = 83.15/x
  3. Step 3: Cross multiply
    116.41x = 160.54 × 83.15
  4. Step 4: Simplify right side
    116.41x = 13,349.41
  5. Step 5: Solve for x
    x = 13,349.41/116.41
  6. Step 6: Final answer
    x = 114.68

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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.