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Finding the Fourth Proportional to 106.50, 146.88 and 77.34

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Solution

The fourth proportional to 106.50, 146.88 and 77.34 is: 106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.50 : 146.88 = 77.34 : x
  2. Step 2: Convert to fraction form
    106.50/146.88 = 77.34/x
  3. Step 3: Cross multiply
    106.50x = 146.88 × 77.34
  4. Step 4: Simplify right side
    106.50x = 11,359.70
  5. Step 5: Solve for x
    x = 11,359.70/106.50
  6. Step 6: Final answer
    x = 106.66

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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.