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Finding the Fourth Proportional to 106.10, 159.45 and 98.06

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Solution

The fourth proportional to 106.10, 159.45 and 98.06 is: 147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.10 : 159.45 = 98.06 : x
  2. Step 2: Convert to fraction form
    106.10/159.45 = 98.06/x
  3. Step 3: Cross multiply
    106.10x = 159.45 × 98.06
  4. Step 4: Simplify right side
    106.10x = 15,635.67
  5. Step 5: Solve for x
    x = 15,635.67/106.10
  6. Step 6: Final answer
    x = 147.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.