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Finding the Fourth Proportional to 110.50, 165.53 and 52.64

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Solution

The fourth proportional to 110.50, 165.53 and 52.64 is: 78.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.50 : 165.53 = 52.64 : x
  2. Step 2: Convert to fraction form
    110.50/165.53 = 52.64/x
  3. Step 3: Cross multiply
    110.50x = 165.53 × 52.64
  4. Step 4: Simplify right side
    110.50x = 8,713.50
  5. Step 5: Solve for x
    x = 8,713.50/110.50
  6. Step 6: Final answer
    x = 78.86

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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.