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Finding the Fourth Proportional to 116.69, 160.98 and 94.82

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Solution

The fourth proportional to 116.69, 160.98 and 94.82 is: 130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.69 : 160.98 = 94.82 : x
  2. Step 2: Convert to fraction form
    116.69/160.98 = 94.82/x
  3. Step 3: Cross multiply
    116.69x = 160.98 × 94.82
  4. Step 4: Simplify right side
    116.69x = 15,263.32
  5. Step 5: Solve for x
    x = 15,263.32/116.69
  6. Step 6: Final answer
    x = 130.81

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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.