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Finding the Fourth Proportional to 105.47, 158.25 and 44.72

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Solution

The fourth proportional to 105.47, 158.25 and 44.72 is: 67.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.47 : 158.25 = 44.72 : x
  2. Step 2: Convert to fraction form
    105.47/158.25 = 44.72/x
  3. Step 3: Cross multiply
    105.47x = 158.25 × 44.72
  4. Step 4: Simplify right side
    105.47x = 7,076.91
  5. Step 5: Solve for x
    x = 7,076.91/105.47
  6. Step 6: Final answer
    x = 67.10

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