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Finding the Fourth Proportional to 106.98, 160.61 and 61.41

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Solution

The fourth proportional to 106.98, 160.61 and 61.41 is: 92.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.98 : 160.61 = 61.41 : x
  2. Step 2: Convert to fraction form
    106.98/160.61 = 61.41/x
  3. Step 3: Cross multiply
    106.98x = 160.61 × 61.41
  4. Step 4: Simplify right side
    106.98x = 9,863.06
  5. Step 5: Solve for x
    x = 9,863.06/106.98
  6. Step 6: Final answer
    x = 92.20

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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.