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Finding the Fourth Proportional to 110.63, 165.86 and 52.83

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Solution

The fourth proportional to 110.63, 165.86 and 52.83 is: 79.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.63 : 165.86 = 52.83 : x
  2. Step 2: Convert to fraction form
    110.63/165.86 = 52.83/x
  3. Step 3: Cross multiply
    110.63x = 165.86 × 52.83
  4. Step 4: Simplify right side
    110.63x = 8,762.12
  5. Step 5: Solve for x
    x = 8,762.12/110.63
  6. Step 6: Final answer
    x = 79.21

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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.