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Finding the Fourth Proportional to 105.24, 157.74 and 87.24

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Solution

The fourth proportional to 105.24, 157.74 and 87.24 is: 130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.24 : 157.74 = 87.24 : x
  2. Step 2: Convert to fraction form
    105.24/157.74 = 87.24/x
  3. Step 3: Cross multiply
    105.24x = 157.74 × 87.24
  4. Step 4: Simplify right side
    105.24x = 13,761.24
  5. Step 5: Solve for x
    x = 13,761.24/105.24
  6. Step 6: Final answer
    x = 130.76

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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.