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Finding the Fourth Proportional to 89.94, 134.82 and 46.55

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Solution

The fourth proportional to 89.94, 134.82 and 46.55 is: 69.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.94 : 134.82 = 46.55 : x
  2. Step 2: Convert to fraction form
    89.94/134.82 = 46.55/x
  3. Step 3: Cross multiply
    89.94x = 134.82 × 46.55
  4. Step 4: Simplify right side
    89.94x = 6,275.20
  5. Step 5: Solve for x
    x = 6,275.20/89.94
  6. Step 6: Final answer
    x = 69.77

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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.