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Finding the Fourth Proportional to 90.89, 125.43 and 52.09

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Solution

The fourth proportional to 90.89, 125.43 and 52.09 is: 71.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.89 : 125.43 = 52.09 : x
  2. Step 2: Convert to fraction form
    90.89/125.43 = 52.09/x
  3. Step 3: Cross multiply
    90.89x = 125.43 × 52.09
  4. Step 4: Simplify right side
    90.89x = 6,533.02
  5. Step 5: Solve for x
    x = 6,533.02/90.89
  6. Step 6: Final answer
    x = 71.88

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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.