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Finding the Fourth Proportional to 110.57, 165.86 and 52.78

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Solution

The fourth proportional to 110.57, 165.86 and 52.78 is: 79.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.57 : 165.86 = 52.78 : x
  2. Step 2: Convert to fraction form
    110.57/165.86 = 52.78/x
  3. Step 3: Cross multiply
    110.57x = 165.86 × 52.78
  4. Step 4: Simplify right side
    110.57x = 8,753.41
  5. Step 5: Solve for x
    x = 8,753.41/110.57
  6. Step 6: Final answer
    x = 79.17

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