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Finding the Fourth Proportional to 90.57, 135.91 and 52.12

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Solution

The fourth proportional to 90.57, 135.91 and 52.12 is: 78.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.57 : 135.91 = 52.12 : x
  2. Step 2: Convert to fraction form
    90.57/135.91 = 52.12/x
  3. Step 3: Cross multiply
    90.57x = 135.91 × 52.12
  4. Step 4: Simplify right side
    90.57x = 7,084.01
  5. Step 5: Solve for x
    x = 7,084.01/90.57
  6. Step 6: Final answer
    x = 78.22

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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.