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Finding the Fourth Proportional to 106.98, 160.44 and 37.56

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Solution

The fourth proportional to 106.98, 160.44 and 37.56 is: 56.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.98 : 160.44 = 37.56 : x
  2. Step 2: Convert to fraction form
    106.98/160.44 = 37.56/x
  3. Step 3: Cross multiply
    106.98x = 160.44 × 37.56
  4. Step 4: Simplify right side
    106.98x = 6,026.13
  5. Step 5: Solve for x
    x = 6,026.13/106.98
  6. Step 6: Final answer
    x = 56.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.