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Finding the Fourth Proportional to 106.93, 146.72 and 96.49

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Solution

The fourth proportional to 106.93, 146.72 and 96.49 is: 132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.93 : 146.72 = 96.49 : x
  2. Step 2: Convert to fraction form
    106.93/146.72 = 96.49/x
  3. Step 3: Cross multiply
    106.93x = 146.72 × 96.49
  4. Step 4: Simplify right side
    106.93x = 14,157.01
  5. Step 5: Solve for x
    x = 14,157.01/106.93
  6. Step 6: Final answer
    x = 132.40

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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.