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Finding the Fourth Proportional to 105.72, 158.88 and 104.64

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Solution

The fourth proportional to 105.72, 158.88 and 104.64 is: 157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.72 : 158.88 = 104.64 : x
  2. Step 2: Convert to fraction form
    105.72/158.88 = 104.64/x
  3. Step 3: Cross multiply
    105.72x = 158.88 × 104.64
  4. Step 4: Simplify right side
    105.72x = 16,625.20
  5. Step 5: Solve for x
    x = 16,625.20/105.72
  6. Step 6: Final answer
    x = 157.26

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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.