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Finding the Fourth Proportional to 116.17, 160.40 and 89.89

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Solution

The fourth proportional to 116.17, 160.40 and 89.89 is: 124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.17 : 160.40 = 89.89 : x
  2. Step 2: Convert to fraction form
    116.17/160.40 = 89.89/x
  3. Step 3: Cross multiply
    116.17x = 160.40 × 89.89
  4. Step 4: Simplify right side
    116.17x = 14,418.36
  5. Step 5: Solve for x
    x = 14,418.36/116.17
  6. Step 6: Final answer
    x = 124.11

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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.