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Finding the Fourth Proportional to 106.98, 147.42 and 77.82

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Solution

The fourth proportional to 106.98, 147.42 and 77.82 is: 107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.98 : 147.42 = 77.82 : x
  2. Step 2: Convert to fraction form
    106.98/147.42 = 77.82/x
  3. Step 3: Cross multiply
    106.98x = 147.42 × 77.82
  4. Step 4: Simplify right side
    106.98x = 11,472.22
  5. Step 5: Solve for x
    x = 11,472.22/106.98
  6. Step 6: Final answer
    x = 107.24

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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.