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Finding the Fourth Proportional to 105.84, 157.68 and 101.94

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Solution

The fourth proportional to 105.84, 157.68 and 101.94 is: 151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.84 : 157.68 = 101.94 : x
  2. Step 2: Convert to fraction form
    105.84/157.68 = 101.94/x
  3. Step 3: Cross multiply
    105.84x = 157.68 × 101.94
  4. Step 4: Simplify right side
    105.84x = 16,073.90
  5. Step 5: Solve for x
    x = 16,073.90/105.84
  6. Step 6: Final answer
    x = 151.87

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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.