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Finding the Fourth Proportional to 106.54, 146.89 and 77.08

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Solution

The fourth proportional to 106.54, 146.89 and 77.08 is: 106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 146.89 = 77.08 : x
  2. Step 2: Convert to fraction form
    106.54/146.89 = 77.08/x
  3. Step 3: Cross multiply
    106.54x = 146.89 × 77.08
  4. Step 4: Simplify right side
    106.54x = 11,321.72
  5. Step 5: Solve for x
    x = 11,321.72/106.54
  6. Step 6: Final answer
    x = 106.27

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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.