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Finding the Fourth Proportional to 117.28, 160.72 and 105.76

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Solution

The fourth proportional to 117.28, 160.72 and 105.76 is: 144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.28 : 160.72 = 105.76 : x
  2. Step 2: Convert to fraction form
    117.28/160.72 = 105.76/x
  3. Step 3: Cross multiply
    117.28x = 160.72 × 105.76
  4. Step 4: Simplify right side
    117.28x = 16,997.75
  5. Step 5: Solve for x
    x = 16,997.75/117.28
  6. Step 6: Final answer
    x = 144.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.