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Finding the Fourth Proportional to 80.98, 111.70 and 53.37

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Solution

The fourth proportional to 80.98, 111.70 and 53.37 is: 73.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.98 : 111.70 = 53.37 : x
  2. Step 2: Convert to fraction form
    80.98/111.70 = 53.37/x
  3. Step 3: Cross multiply
    80.98x = 111.70 × 53.37
  4. Step 4: Simplify right side
    80.98x = 5,961.50
  5. Step 5: Solve for x
    x = 5,961.50/80.98
  6. Step 6: Final answer
    x = 73.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.