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Finding the Fourth Proportional to 110.57, 165.86 and 45.59

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Solution

The fourth proportional to 110.57, 165.86 and 45.59 is: 68.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.57 : 165.86 = 45.59 : x
  2. Step 2: Convert to fraction form
    110.57/165.86 = 45.59/x
  3. Step 3: Cross multiply
    110.57x = 165.86 × 45.59
  4. Step 4: Simplify right side
    110.57x = 7,561.39
  5. Step 5: Solve for x
    x = 7,561.39/110.57
  6. Step 6: Final answer
    x = 68.39

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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.