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Finding the Fourth Proportional to 116.45, 160.50 and 93.09

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Solution

The fourth proportional to 116.45, 160.50 and 93.09 is: 128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.45 : 160.50 = 93.09 : x
  2. Step 2: Convert to fraction form
    116.45/160.50 = 93.09/x
  3. Step 3: Cross multiply
    116.45x = 160.50 × 93.09
  4. Step 4: Simplify right side
    116.45x = 14,940.95
  5. Step 5: Solve for x
    x = 14,940.95/116.45
  6. Step 6: Final answer
    x = 128.31

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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.