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Finding the Fourth Proportional to 57.07, 78.77 and 38.64

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Solution

The fourth proportional to 57.07, 78.77 and 38.64 is: 53.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.07 : 78.77 = 38.64 : x
  2. Step 2: Convert to fraction form
    57.07/78.77 = 38.64/x
  3. Step 3: Cross multiply
    57.07x = 78.77 × 38.64
  4. Step 4: Simplify right side
    57.07x = 3,044.06
  5. Step 5: Solve for x
    x = 3,044.06/57.07
  6. Step 6: Final answer
    x = 53.34

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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.