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Finding the Fourth Proportional to 90.58, 135.74 and 77.20

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Solution

The fourth proportional to 90.58, 135.74 and 77.20 is: 115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.58 : 135.74 = 77.20 : x
  2. Step 2: Convert to fraction form
    90.58/135.74 = 77.20/x
  3. Step 3: Cross multiply
    90.58x = 135.74 × 77.20
  4. Step 4: Simplify right side
    90.58x = 10,479.13
  5. Step 5: Solve for x
    x = 10,479.13/90.58
  6. Step 6: Final answer
    x = 115.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.