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Finding the Fourth Proportional to 110.70, 165.90 and 52.86

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Solution

The fourth proportional to 110.70, 165.90 and 52.86 is: 79.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.70 : 165.90 = 52.86 : x
  2. Step 2: Convert to fraction form
    110.70/165.90 = 52.86/x
  3. Step 3: Cross multiply
    110.70x = 165.90 × 52.86
  4. Step 4: Simplify right side
    110.70x = 8,769.47
  5. Step 5: Solve for x
    x = 8,769.47/110.70
  6. Step 6: Final answer
    x = 79.22

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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.