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Finding the Fourth Proportional to 105.01, 157.46 and 36.52

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Solution

The fourth proportional to 105.01, 157.46 and 36.52 is: 54.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.01 : 157.46 = 36.52 : x
  2. Step 2: Convert to fraction form
    105.01/157.46 = 36.52/x
  3. Step 3: Cross multiply
    105.01x = 157.46 × 36.52
  4. Step 4: Simplify right side
    105.01x = 5,749.86
  5. Step 5: Solve for x
    x = 5,749.86/105.01
  6. Step 6: Final answer
    x = 54.76

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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.