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Finding the Fourth Proportional to 90.54, 135.74 and 54.50

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Solution

The fourth proportional to 90.54, 135.74 and 54.50 is: 81.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.54 : 135.74 = 54.50 : x
  2. Step 2: Convert to fraction form
    90.54/135.74 = 54.50/x
  3. Step 3: Cross multiply
    90.54x = 135.74 × 54.50
  4. Step 4: Simplify right side
    90.54x = 7,397.83
  5. Step 5: Solve for x
    x = 7,397.83/90.54
  6. Step 6: Final answer
    x = 81.71

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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.