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Finding the Fourth Proportional to 105.48, 157.72 and 102.92

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Solution

The fourth proportional to 105.48, 157.72 and 102.92 is: 153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.48 : 157.72 = 102.92 : x
  2. Step 2: Convert to fraction form
    105.48/157.72 = 102.92/x
  3. Step 3: Cross multiply
    105.48x = 157.72 × 102.92
  4. Step 4: Simplify right side
    105.48x = 16,232.54
  5. Step 5: Solve for x
    x = 16,232.54/105.48
  6. Step 6: Final answer
    x = 153.89

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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.