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Finding the Fourth Proportional to 106.63, 159.08 and 96.37

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Solution

The fourth proportional to 106.63, 159.08 and 96.37 is: 143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.63 : 159.08 = 96.37 : x
  2. Step 2: Convert to fraction form
    106.63/159.08 = 96.37/x
  3. Step 3: Cross multiply
    106.63x = 159.08 × 96.37
  4. Step 4: Simplify right side
    106.63x = 15,330.54
  5. Step 5: Solve for x
    x = 15,330.54/106.63
  6. Step 6: Final answer
    x = 143.77

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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.