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Finding the Fourth Proportional to 90.78, 135.91 and 52.19

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Solution

The fourth proportional to 90.78, 135.91 and 52.19 is: 78.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.78 : 135.91 = 52.19 : x
  2. Step 2: Convert to fraction form
    90.78/135.91 = 52.19/x
  3. Step 3: Cross multiply
    90.78x = 135.91 × 52.19
  4. Step 4: Simplify right side
    90.78x = 7,092.88
  5. Step 5: Solve for x
    x = 7,092.88/90.78
  6. Step 6: Final answer
    x = 78.13

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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.