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Finding the Fourth Proportional to 106.69, 146.91 and 96.40

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Solution

The fourth proportional to 106.69, 146.91 and 96.40 is: 132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.69 : 146.91 = 96.40 : x
  2. Step 2: Convert to fraction form
    106.69/146.91 = 96.40/x
  3. Step 3: Cross multiply
    106.69x = 146.91 × 96.40
  4. Step 4: Simplify right side
    106.69x = 14,162.12
  5. Step 5: Solve for x
    x = 14,162.12/106.69
  6. Step 6: Final answer
    x = 132.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.