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Finding the Fourth Proportional to 80.58, 111.34 and 74.51

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Solution

The fourth proportional to 80.58, 111.34 and 74.51 is: 102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.58 : 111.34 = 74.51 : x
  2. Step 2: Convert to fraction form
    80.58/111.34 = 74.51/x
  3. Step 3: Cross multiply
    80.58x = 111.34 × 74.51
  4. Step 4: Simplify right side
    80.58x = 8,295.94
  5. Step 5: Solve for x
    x = 8,295.94/80.58
  6. Step 6: Final answer
    x = 102.95

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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.