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Finding the Fourth Proportional to 106.69, 147.22 and 60.05

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Solution

The fourth proportional to 106.69, 147.22 and 60.05 is: 82.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.69 : 147.22 = 60.05 : x
  2. Step 2: Convert to fraction form
    106.69/147.22 = 60.05/x
  3. Step 3: Cross multiply
    106.69x = 147.22 × 60.05
  4. Step 4: Simplify right side
    106.69x = 8,839.82
  5. Step 5: Solve for x
    x = 8,839.82/106.69
  6. Step 6: Final answer
    x = 82.86

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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.