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Finding the Fourth Proportional to 90.03, 135.09 and 41.91

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Solution

The fourth proportional to 90.03, 135.09 and 41.91 is: 62.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.03 : 135.09 = 41.91 : x
  2. Step 2: Convert to fraction form
    90.03/135.09 = 41.91/x
  3. Step 3: Cross multiply
    90.03x = 135.09 × 41.91
  4. Step 4: Simplify right side
    90.03x = 5,661.12
  5. Step 5: Solve for x
    x = 5,661.12/90.03
  6. Step 6: Final answer
    x = 62.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.