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Finding the Fourth Proportional to 106.98, 146.68 and 96.57

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Solution

The fourth proportional to 106.98, 146.68 and 96.57 is: 132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.98 : 146.68 = 96.57 : x
  2. Step 2: Convert to fraction form
    106.98/146.68 = 96.57/x
  3. Step 3: Cross multiply
    106.98x = 146.68 × 96.57
  4. Step 4: Simplify right side
    106.98x = 14,164.89
  5. Step 5: Solve for x
    x = 14,164.89/106.98
  6. Step 6: Final answer
    x = 132.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.