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Finding the Fourth Proportional to 90.68, 135.46 and 89.76

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Solution

The fourth proportional to 90.68, 135.46 and 89.76 is: 134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.68 : 135.46 = 89.76 : x
  2. Step 2: Convert to fraction form
    90.68/135.46 = 89.76/x
  3. Step 3: Cross multiply
    90.68x = 135.46 × 89.76
  4. Step 4: Simplify right side
    90.68x = 12,158.89
  5. Step 5: Solve for x
    x = 12,158.89/90.68
  6. Step 6: Final answer
    x = 134.09

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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.