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Finding the Fourth Proportional to 116.09, 160.17 and 88.41

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Solution

The fourth proportional to 116.09, 160.17 and 88.41 is: 121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.09 : 160.17 = 88.41 : x
  2. Step 2: Convert to fraction form
    116.09/160.17 = 88.41/x
  3. Step 3: Cross multiply
    116.09x = 160.17 × 88.41
  4. Step 4: Simplify right side
    116.09x = 14,160.63
  5. Step 5: Solve for x
    x = 14,160.63/116.09
  6. Step 6: Final answer
    x = 121.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.