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Finding the Fourth Proportional to 107.17, 159.75 and 98.97

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Solution

The fourth proportional to 107.17, 159.75 and 98.97 is: 147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.17 : 159.75 = 98.97 : x
  2. Step 2: Convert to fraction form
    107.17/159.75 = 98.97/x
  3. Step 3: Cross multiply
    107.17x = 159.75 × 98.97
  4. Step 4: Simplify right side
    107.17x = 15,810.48
  5. Step 5: Solve for x
    x = 15,810.48/107.17
  6. Step 6: Final answer
    x = 147.52

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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.