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Finding the Fourth Proportional to 116.26, 160.38 and 72.64

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Solution

The fourth proportional to 116.26, 160.38 and 72.64 is: 100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.26 : 160.38 = 72.64 : x
  2. Step 2: Convert to fraction form
    116.26/160.38 = 72.64/x
  3. Step 3: Cross multiply
    116.26x = 160.38 × 72.64
  4. Step 4: Simplify right side
    116.26x = 11,650.00
  5. Step 5: Solve for x
    x = 11,650.00/116.26
  6. Step 6: Final answer
    x = 100.21

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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.