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Finding the Fourth Proportional to 110.47, 165.64 and 52.62

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Solution

The fourth proportional to 110.47, 165.64 and 52.62 is: 78.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.47 : 165.64 = 52.62 : x
  2. Step 2: Convert to fraction form
    110.47/165.64 = 52.62/x
  3. Step 3: Cross multiply
    110.47x = 165.64 × 52.62
  4. Step 4: Simplify right side
    110.47x = 8,715.98
  5. Step 5: Solve for x
    x = 8,715.98/110.47
  6. Step 6: Final answer
    x = 78.90

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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.