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Finding the Fourth Proportional to 57.16, 78.82 and 38.76

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Solution

The fourth proportional to 57.16, 78.82 and 38.76 is: 53.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.16 : 78.82 = 38.76 : x
  2. Step 2: Convert to fraction form
    57.16/78.82 = 38.76/x
  3. Step 3: Cross multiply
    57.16x = 78.82 × 38.76
  4. Step 4: Simplify right side
    57.16x = 3,055.06
  5. Step 5: Solve for x
    x = 3,055.06/57.16
  6. Step 6: Final answer
    x = 53.45

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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.