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Finding the Fourth Proportional to 116.29, 160.50 and 66.50

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Solution

The fourth proportional to 116.29, 160.50 and 66.50 is: 91.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.29 : 160.50 = 66.50 : x
  2. Step 2: Convert to fraction form
    116.29/160.50 = 66.50/x
  3. Step 3: Cross multiply
    116.29x = 160.50 × 66.50
  4. Step 4: Simplify right side
    116.29x = 10,673.75
  5. Step 5: Solve for x
    x = 10,673.75/116.29
  6. Step 6: Final answer
    x = 91.78

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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.