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Finding the Fourth Proportional to 90.74, 135.35 and 76.39

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Solution

The fourth proportional to 90.74, 135.35 and 76.39 is: 113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.74 : 135.35 = 76.39 : x
  2. Step 2: Convert to fraction form
    90.74/135.35 = 76.39/x
  3. Step 3: Cross multiply
    90.74x = 135.35 × 76.39
  4. Step 4: Simplify right side
    90.74x = 10,339.39
  5. Step 5: Solve for x
    x = 10,339.39/90.74
  6. Step 6: Final answer
    x = 113.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.