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Finding the Fourth Proportional to 106.54, 146.92 and 77.23

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Solution

The fourth proportional to 106.54, 146.92 and 77.23 is: 106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 146.92 = 77.23 : x
  2. Step 2: Convert to fraction form
    106.54/146.92 = 77.23/x
  3. Step 3: Cross multiply
    106.54x = 146.92 × 77.23
  4. Step 4: Simplify right side
    106.54x = 11,346.57
  5. Step 5: Solve for x
    x = 11,346.57/106.54
  6. Step 6: Final answer
    x = 106.50

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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.