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Finding the Fourth Proportional to 105.78, 158.75 and 54.47

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Solution

The fourth proportional to 105.78, 158.75 and 54.47 is: 81.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.78 : 158.75 = 54.47 : x
  2. Step 2: Convert to fraction form
    105.78/158.75 = 54.47/x
  3. Step 3: Cross multiply
    105.78x = 158.75 × 54.47
  4. Step 4: Simplify right side
    105.78x = 8,646.32
  5. Step 5: Solve for x
    x = 8,646.32/105.78
  6. Step 6: Final answer
    x = 81.74

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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.