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Finding the Fourth Proportional to 106.57, 146.97 and 91.08

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Solution

The fourth proportional to 106.57, 146.97 and 91.08 is: 125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.57 : 146.97 = 91.08 : x
  2. Step 2: Convert to fraction form
    106.57/146.97 = 91.08/x
  3. Step 3: Cross multiply
    106.57x = 146.97 × 91.08
  4. Step 4: Simplify right side
    106.57x = 13,386.03
  5. Step 5: Solve for x
    x = 13,386.03/106.57
  6. Step 6: Final answer
    x = 125.61

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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.