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Finding the Fourth Proportional to 116.25, 159.16 and 115.84

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Solution

The fourth proportional to 116.25, 159.16 and 115.84 is: 158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.25 : 159.16 = 115.84 : x
  2. Step 2: Convert to fraction form
    116.25/159.16 = 115.84/x
  3. Step 3: Cross multiply
    116.25x = 159.16 × 115.84
  4. Step 4: Simplify right side
    116.25x = 18,437.09
  5. Step 5: Solve for x
    x = 18,437.09/116.25
  6. Step 6: Final answer
    x = 158.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.