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Finding the Fourth Proportional to 107.07, 159.69 and 97.96

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Solution

The fourth proportional to 107.07, 159.69 and 97.96 is: 146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.07 : 159.69 = 97.96 : x
  2. Step 2: Convert to fraction form
    107.07/159.69 = 97.96/x
  3. Step 3: Cross multiply
    107.07x = 159.69 × 97.96
  4. Step 4: Simplify right side
    107.07x = 15,643.48
  5. Step 5: Solve for x
    x = 15,643.48/107.07
  6. Step 6: Final answer
    x = 146.11

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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.