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Finding the Fourth Proportional to 164.99, 247.53 and 83.81

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Solution

The fourth proportional to 164.99, 247.53 and 83.81 is: 125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.99 : 247.53 = 83.81 : x
  2. Step 2: Convert to fraction form
    164.99/247.53 = 83.81/x
  3. Step 3: Cross multiply
    164.99x = 247.53 × 83.81
  4. Step 4: Simplify right side
    164.99x = 20,745.49
  5. Step 5: Solve for x
    x = 20,745.49/164.99
  6. Step 6: Final answer
    x = 125.74

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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.