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Finding the Fourth Proportional to 116.32, 160.17 and 108.98

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Solution

The fourth proportional to 116.32, 160.17 and 108.98 is: 150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.32 : 160.17 = 108.98 : x
  2. Step 2: Convert to fraction form
    116.32/160.17 = 108.98/x
  3. Step 3: Cross multiply
    116.32x = 160.17 × 108.98
  4. Step 4: Simplify right side
    116.32x = 17,455.33
  5. Step 5: Solve for x
    x = 17,455.33/116.32
  6. Step 6: Final answer
    x = 150.06

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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.