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Finding the Fourth Proportional to 105.80, 146.07 and 76.77

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Solution

The fourth proportional to 105.80, 146.07 and 76.77 is: 106.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.80 : 146.07 = 76.77 : x
  2. Step 2: Convert to fraction form
    105.80/146.07 = 76.77/x
  3. Step 3: Cross multiply
    105.80x = 146.07 × 76.77
  4. Step 4: Simplify right side
    105.80x = 11,213.79
  5. Step 5: Solve for x
    x = 11,213.79/105.80
  6. Step 6: Final answer
    x = 106.00

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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.