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Finding the Fourth Proportional to 78.05, 107.51 and 57.27

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Solution

The fourth proportional to 78.05, 107.51 and 57.27 is: 78.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.05 : 107.51 = 57.27 : x
  2. Step 2: Convert to fraction form
    78.05/107.51 = 57.27/x
  3. Step 3: Cross multiply
    78.05x = 107.51 × 57.27
  4. Step 4: Simplify right side
    78.05x = 6,157.10
  5. Step 5: Solve for x
    x = 6,157.10/78.05
  6. Step 6: Final answer
    x = 78.89

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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.