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Finding the Fourth Proportional to 75.70, 104.38 and 57.05

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Solution

The fourth proportional to 75.70, 104.38 and 57.05 is: 78.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.70 : 104.38 = 57.05 : x
  2. Step 2: Convert to fraction form
    75.70/104.38 = 57.05/x
  3. Step 3: Cross multiply
    75.70x = 104.38 × 57.05
  4. Step 4: Simplify right side
    75.70x = 5,954.88
  5. Step 5: Solve for x
    x = 5,954.88/75.70
  6. Step 6: Final answer
    x = 78.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.