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Finding the Fourth Proportional to 105.36, 158.07 and 57.24

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Solution

The fourth proportional to 105.36, 158.07 and 57.24 is: 85.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.36 : 158.07 = 57.24 : x
  2. Step 2: Convert to fraction form
    105.36/158.07 = 57.24/x
  3. Step 3: Cross multiply
    105.36x = 158.07 × 57.24
  4. Step 4: Simplify right side
    105.36x = 9,047.93
  5. Step 5: Solve for x
    x = 9,047.93/105.36
  6. Step 6: Final answer
    x = 85.88

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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.