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Finding the Fourth Proportional to 105.71, 158.62 and 75.47

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Solution

The fourth proportional to 105.71, 158.62 and 75.47 is: 113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.71 : 158.62 = 75.47 : x
  2. Step 2: Convert to fraction form
    105.71/158.62 = 75.47/x
  3. Step 3: Cross multiply
    105.71x = 158.62 × 75.47
  4. Step 4: Simplify right side
    105.71x = 11,971.05
  5. Step 5: Solve for x
    x = 11,971.05/105.71
  6. Step 6: Final answer
    x = 113.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.