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Finding the Fourth Proportional to 89.53, 134.31 and 43.86

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Solution

The fourth proportional to 89.53, 134.31 and 43.86 is: 65.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.53 : 134.31 = 43.86 : x
  2. Step 2: Convert to fraction form
    89.53/134.31 = 43.86/x
  3. Step 3: Cross multiply
    89.53x = 134.31 × 43.86
  4. Step 4: Simplify right side
    89.53x = 5,890.84
  5. Step 5: Solve for x
    x = 5,890.84/89.53
  6. Step 6: Final answer
    x = 65.80

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Why These Related Problems?

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