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Finding the Fourth Proportional to 90.10, 134.06 and 89.78

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Solution

The fourth proportional to 90.10, 134.06 and 89.78 is: 133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.10 : 134.06 = 89.78 : x
  2. Step 2: Convert to fraction form
    90.10/134.06 = 89.78/x
  3. Step 3: Cross multiply
    90.10x = 134.06 × 89.78
  4. Step 4: Simplify right side
    90.10x = 12,035.91
  5. Step 5: Solve for x
    x = 12,035.91/90.10
  6. Step 6: Final answer
    x = 133.58

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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.