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Finding the Fourth Proportional to 106.99, 147.27 and 77.44

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Solution

The fourth proportional to 106.99, 147.27 and 77.44 is: 106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.99 : 147.27 = 77.44 : x
  2. Step 2: Convert to fraction form
    106.99/147.27 = 77.44/x
  3. Step 3: Cross multiply
    106.99x = 147.27 × 77.44
  4. Step 4: Simplify right side
    106.99x = 11,404.22
  5. Step 5: Solve for x
    x = 11,404.22/106.99
  6. Step 6: Final answer
    x = 106.59

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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.