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Finding the Fourth Proportional to 90.78, 135.62 and 74.76

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Solution

The fourth proportional to 90.78, 135.62 and 74.76 is: 111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.78 : 135.62 = 74.76 : x
  2. Step 2: Convert to fraction form
    90.78/135.62 = 74.76/x
  3. Step 3: Cross multiply
    90.78x = 135.62 × 74.76
  4. Step 4: Simplify right side
    90.78x = 10,138.58
  5. Step 5: Solve for x
    x = 10,138.58/90.78
  6. Step 6: Final answer
    x = 111.68

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