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Finding the Fourth Proportional to 105.44, 157.52 and 74.77

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Solution

The fourth proportional to 105.44, 157.52 and 74.77 is: 111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.44 : 157.52 = 74.77 : x
  2. Step 2: Convert to fraction form
    105.44/157.52 = 74.77/x
  3. Step 3: Cross multiply
    105.44x = 157.52 × 74.77
  4. Step 4: Simplify right side
    105.44x = 11,777.00
  5. Step 5: Solve for x
    x = 11,777.00/105.44
  6. Step 6: Final answer
    x = 111.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.