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Finding the Fourth Proportional to 80.97, 111.74 and 52.93

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Solution

The fourth proportional to 80.97, 111.74 and 52.93 is: 73.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.97 : 111.74 = 52.93 : x
  2. Step 2: Convert to fraction form
    80.97/111.74 = 52.93/x
  3. Step 3: Cross multiply
    80.97x = 111.74 × 52.93
  4. Step 4: Simplify right side
    80.97x = 5,914.67
  5. Step 5: Solve for x
    x = 5,914.67/80.97
  6. Step 6: Final answer
    x = 73.05

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Why These Related Problems?

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