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Finding the Fourth Proportional to 105.82, 157.83 and 96.71

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Solution

The fourth proportional to 105.82, 157.83 and 96.71 is: 144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.82 : 157.83 = 96.71 : x
  2. Step 2: Convert to fraction form
    105.82/157.83 = 96.71/x
  3. Step 3: Cross multiply
    105.82x = 157.83 × 96.71
  4. Step 4: Simplify right side
    105.82x = 15,263.74
  5. Step 5: Solve for x
    x = 15,263.74/105.82
  6. Step 6: Final answer
    x = 144.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.