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Finding the Fourth Proportional to 115.58, 159.56 and 76.26

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Solution

The fourth proportional to 115.58, 159.56 and 76.26 is: 105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.58 : 159.56 = 76.26 : x
  2. Step 2: Convert to fraction form
    115.58/159.56 = 76.26/x
  3. Step 3: Cross multiply
    115.58x = 159.56 × 76.26
  4. Step 4: Simplify right side
    115.58x = 12,168.05
  5. Step 5: Solve for x
    x = 12,168.05/115.58
  6. Step 6: Final answer
    x = 105.28

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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.