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Finding the Fourth Proportional to 90.89, 125.43 and 59.84

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Solution

The fourth proportional to 90.89, 125.43 and 59.84 is: 82.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.89 : 125.43 = 59.84 : x
  2. Step 2: Convert to fraction form
    90.89/125.43 = 59.84/x
  3. Step 3: Cross multiply
    90.89x = 125.43 × 59.84
  4. Step 4: Simplify right side
    90.89x = 7,505.73
  5. Step 5: Solve for x
    x = 7,505.73/90.89
  6. Step 6: Final answer
    x = 82.58

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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.