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Finding the Fourth Proportional to 105.39, 158.01 and 47.64

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Solution

The fourth proportional to 105.39, 158.01 and 47.64 is: 71.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.39 : 158.01 = 47.64 : x
  2. Step 2: Convert to fraction form
    105.39/158.01 = 47.64/x
  3. Step 3: Cross multiply
    105.39x = 158.01 × 47.64
  4. Step 4: Simplify right side
    105.39x = 7,527.60
  5. Step 5: Solve for x
    x = 7,527.60/105.39
  6. Step 6: Final answer
    x = 71.43

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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.