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Finding the Fourth Proportional to 89.83, 134.61 and 53.74

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Solution

The fourth proportional to 89.83, 134.61 and 53.74 is: 80.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.83 : 134.61 = 53.74 : x
  2. Step 2: Convert to fraction form
    89.83/134.61 = 53.74/x
  3. Step 3: Cross multiply
    89.83x = 134.61 × 53.74
  4. Step 4: Simplify right side
    89.83x = 7,233.94
  5. Step 5: Solve for x
    x = 7,233.94/89.83
  6. Step 6: Final answer
    x = 80.53

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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.