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Finding the Fourth Proportional to 90.74, 125.22 and 58.01

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Solution

The fourth proportional to 90.74, 125.22 and 58.01 is: 80.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.74 : 125.22 = 58.01 : x
  2. Step 2: Convert to fraction form
    90.74/125.22 = 58.01/x
  3. Step 3: Cross multiply
    90.74x = 125.22 × 58.01
  4. Step 4: Simplify right side
    90.74x = 7,264.01
  5. Step 5: Solve for x
    x = 7,264.01/90.74
  6. Step 6: Final answer
    x = 80.05

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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.