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Finding the Fourth Proportional to 157.44, 235.91 and 105.88

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Solution

The fourth proportional to 157.44, 235.91 and 105.88 is: 158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.44 : 235.91 = 105.88 : x
  2. Step 2: Convert to fraction form
    157.44/235.91 = 105.88/x
  3. Step 3: Cross multiply
    157.44x = 235.91 × 105.88
  4. Step 4: Simplify right side
    157.44x = 24,978.15
  5. Step 5: Solve for x
    x = 24,978.15/157.44
  6. Step 6: Final answer
    x = 158.65

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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.