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Finding the Fourth Proportional to 110.57, 165.61 and 93.38

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Solution

The fourth proportional to 110.57, 165.61 and 93.38 is: 139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.57 : 165.61 = 93.38 : x
  2. Step 2: Convert to fraction form
    110.57/165.61 = 93.38/x
  3. Step 3: Cross multiply
    110.57x = 165.61 × 93.38
  4. Step 4: Simplify right side
    110.57x = 15,465.09
  5. Step 5: Solve for x
    x = 15,465.09/110.57
  6. Step 6: Final answer
    x = 139.87

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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.