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Finding the Fourth Proportional to 116.34, 160.52 and 83.66

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Solution

The fourth proportional to 116.34, 160.52 and 83.66 is: 115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.34 : 160.52 = 83.66 : x
  2. Step 2: Convert to fraction form
    116.34/160.52 = 83.66/x
  3. Step 3: Cross multiply
    116.34x = 160.52 × 83.66
  4. Step 4: Simplify right side
    116.34x = 13,429.10
  5. Step 5: Solve for x
    x = 13,429.10/116.34
  6. Step 6: Final answer
    x = 115.43

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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.