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Finding the Fourth Proportional to 116.14, 175.02 and 104.58

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Solution

The fourth proportional to 116.14, 175.02 and 104.58 is: 157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.14 : 175.02 = 104.58 : x
  2. Step 2: Convert to fraction form
    116.14/175.02 = 104.58/x
  3. Step 3: Cross multiply
    116.14x = 175.02 × 104.58
  4. Step 4: Simplify right side
    116.14x = 18,304.12
  5. Step 5: Solve for x
    x = 18,304.12/116.14
  6. Step 6: Final answer
    x = 157.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.