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Finding the Fourth Proportional to 116.23, 160.43 and 69.63

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Solution

The fourth proportional to 116.23, 160.43 and 69.63 is: 96.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.23 : 160.43 = 69.63 : x
  2. Step 2: Convert to fraction form
    116.23/160.43 = 69.63/x
  3. Step 3: Cross multiply
    116.23x = 160.43 × 69.63
  4. Step 4: Simplify right side
    116.23x = 11,171.14
  5. Step 5: Solve for x
    x = 11,171.14/116.23
  6. Step 6: Final answer
    x = 96.11

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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.