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Finding the Fourth Proportional to 107.88, 147.78 and 106.80

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Solution

The fourth proportional to 107.88, 147.78 and 106.80 is: 146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.88 : 147.78 = 106.80 : x
  2. Step 2: Convert to fraction form
    107.88/147.78 = 106.80/x
  3. Step 3: Cross multiply
    107.88x = 147.78 × 106.80
  4. Step 4: Simplify right side
    107.88x = 15,782.90
  5. Step 5: Solve for x
    x = 15,782.90/107.88
  6. Step 6: Final answer
    x = 146.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.