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Finding the Fourth Proportional to 110.53, 165.77 and 37.39

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Solution

The fourth proportional to 110.53, 165.77 and 37.39 is: 56.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.53 : 165.77 = 37.39 : x
  2. Step 2: Convert to fraction form
    110.53/165.77 = 37.39/x
  3. Step 3: Cross multiply
    110.53x = 165.77 × 37.39
  4. Step 4: Simplify right side
    110.53x = 6,198.46
  5. Step 5: Solve for x
    x = 6,198.46/110.53
  6. Step 6: Final answer
    x = 56.08

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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.