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Finding the Fourth Proportional to 105.10, 157.71 and 61.78

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Solution

The fourth proportional to 105.10, 157.71 and 61.78 is: 92.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.10 : 157.71 = 61.78 : x
  2. Step 2: Convert to fraction form
    105.10/157.71 = 61.78/x
  3. Step 3: Cross multiply
    105.10x = 157.71 × 61.78
  4. Step 4: Simplify right side
    105.10x = 9,743.32
  5. Step 5: Solve for x
    x = 9,743.32/105.10
  6. Step 6: Final answer
    x = 92.71

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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.