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Finding the Fourth Proportional to 115.58, 159.41 and 74.12

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Solution

The fourth proportional to 115.58, 159.41 and 74.12 is: 102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.58 : 159.41 = 74.12 : x
  2. Step 2: Convert to fraction form
    115.58/159.41 = 74.12/x
  3. Step 3: Cross multiply
    115.58x = 159.41 × 74.12
  4. Step 4: Simplify right side
    115.58x = 11,814.86
  5. Step 5: Solve for x
    x = 11,814.86/115.58
  6. Step 6: Final answer
    x = 102.22

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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.