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Finding the Fourth Proportional to 90.64, 134.88 and 89.88

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Solution

The fourth proportional to 90.64, 134.88 and 89.88 is: 133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.64 : 134.88 = 89.88 : x
  2. Step 2: Convert to fraction form
    90.64/134.88 = 89.88/x
  3. Step 3: Cross multiply
    90.64x = 134.88 × 89.88
  4. Step 4: Simplify right side
    90.64x = 12,123.01
  5. Step 5: Solve for x
    x = 12,123.01/90.64
  6. Step 6: Final answer
    x = 133.75

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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.