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Finding the Fourth Proportional to 116.05, 160.10 and 72.37

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Solution

The fourth proportional to 116.05, 160.10 and 72.37 is: 99.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.05 : 160.10 = 72.37 : x
  2. Step 2: Convert to fraction form
    116.05/160.10 = 72.37/x
  3. Step 3: Cross multiply
    116.05x = 160.10 × 72.37
  4. Step 4: Simplify right side
    116.05x = 11,585.27
  5. Step 5: Solve for x
    x = 11,585.27/116.05
  6. Step 6: Final answer
    x = 99.83

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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.