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Finding the Fourth Proportional to 110.78, 166.10 and 53.02

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Solution

The fourth proportional to 110.78, 166.10 and 53.02 is: 79.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.78 : 166.10 = 53.02 : x
  2. Step 2: Convert to fraction form
    110.78/166.10 = 53.02/x
  3. Step 3: Cross multiply
    110.78x = 166.10 × 53.02
  4. Step 4: Simplify right side
    110.78x = 8,806.62
  5. Step 5: Solve for x
    x = 8,806.62/110.78
  6. Step 6: Final answer
    x = 79.50

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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.