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Finding the Fourth Proportional to 111.30, 166.87 and 53.50

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Solution

The fourth proportional to 111.30, 166.87 and 53.50 is: 80.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.30 : 166.87 = 53.50 : x
  2. Step 2: Convert to fraction form
    111.30/166.87 = 53.50/x
  3. Step 3: Cross multiply
    111.30x = 166.87 × 53.50
  4. Step 4: Simplify right side
    111.30x = 8,927.28
  5. Step 5: Solve for x
    x = 8,927.28/111.30
  6. Step 6: Final answer
    x = 80.21

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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.