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Finding the Fourth Proportional to 105.24, 157.84 and 83.40

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Solution

The fourth proportional to 105.24, 157.84 and 83.40 is: 125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.24 : 157.84 = 83.40 : x
  2. Step 2: Convert to fraction form
    105.24/157.84 = 83.40/x
  3. Step 3: Cross multiply
    105.24x = 157.84 × 83.40
  4. Step 4: Simplify right side
    105.24x = 13,163.86
  5. Step 5: Solve for x
    x = 13,163.86/105.24
  6. Step 6: Final answer
    x = 125.08

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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.