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Finding the Fourth Proportional to 104.45, 157.29 and 75.77

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Solution

The fourth proportional to 104.45, 157.29 and 75.77 is: 114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.45 : 157.29 = 75.77 : x
  2. Step 2: Convert to fraction form
    104.45/157.29 = 75.77/x
  3. Step 3: Cross multiply
    104.45x = 157.29 × 75.77
  4. Step 4: Simplify right side
    104.45x = 11,917.08
  5. Step 5: Solve for x
    x = 11,917.08/104.45
  6. Step 6: Final answer
    x = 114.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.