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Finding the Fourth Proportional to 157.24, 235.86 and 105.22

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Solution

The fourth proportional to 157.24, 235.86 and 105.22 is: 157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.24 : 235.86 = 105.22 : x
  2. Step 2: Convert to fraction form
    157.24/235.86 = 105.22/x
  3. Step 3: Cross multiply
    157.24x = 235.86 × 105.22
  4. Step 4: Simplify right side
    157.24x = 24,817.19
  5. Step 5: Solve for x
    x = 24,817.19/157.24
  6. Step 6: Final answer
    x = 157.83

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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.