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Finding the Fourth Proportional to 105.27, 157.05 and 101.63

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Solution

The fourth proportional to 105.27, 157.05 and 101.63 is: 151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.27 : 157.05 = 101.63 : x
  2. Step 2: Convert to fraction form
    105.27/157.05 = 101.63/x
  3. Step 3: Cross multiply
    105.27x = 157.05 × 101.63
  4. Step 4: Simplify right side
    105.27x = 15,960.21
  5. Step 5: Solve for x
    x = 15,960.21/105.27
  6. Step 6: Final answer
    x = 151.61

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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.