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Finding the Fourth Proportional to 107.07, 147.71 and 80.80

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Solution

The fourth proportional to 107.07, 147.71 and 80.80 is: 111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.07 : 147.71 = 80.80 : x
  2. Step 2: Convert to fraction form
    107.07/147.71 = 80.80/x
  3. Step 3: Cross multiply
    107.07x = 147.71 × 80.80
  4. Step 4: Simplify right side
    107.07x = 11,934.97
  5. Step 5: Solve for x
    x = 11,934.97/107.07
  6. Step 6: Final answer
    x = 111.47

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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.