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Finding the Fourth Proportional to 106.74, 146.91 and 94.50

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Solution

The fourth proportional to 106.74, 146.91 and 94.50 is: 130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.74 : 146.91 = 94.50 : x
  2. Step 2: Convert to fraction form
    106.74/146.91 = 94.50/x
  3. Step 3: Cross multiply
    106.74x = 146.91 × 94.50
  4. Step 4: Simplify right side
    106.74x = 13,883.00
  5. Step 5: Solve for x
    x = 13,883.00/106.74
  6. Step 6: Final answer
    x = 130.06

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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.