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Finding the Fourth Proportional to 90.94, 125.41 and 58.20

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Solution

The fourth proportional to 90.94, 125.41 and 58.20 is: 80.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.94 : 125.41 = 58.20 : x
  2. Step 2: Convert to fraction form
    90.94/125.41 = 58.20/x
  3. Step 3: Cross multiply
    90.94x = 125.41 × 58.20
  4. Step 4: Simplify right side
    90.94x = 7,298.86
  5. Step 5: Solve for x
    x = 7,298.86/90.94
  6. Step 6: Final answer
    x = 80.26

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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.