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Finding the Fourth Proportional to 68.18, 93.80 and 57.20

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Solution

The fourth proportional to 68.18, 93.80 and 57.20 is: 78.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.18 : 93.80 = 57.20 : x
  2. Step 2: Convert to fraction form
    68.18/93.80 = 57.20/x
  3. Step 3: Cross multiply
    68.18x = 93.80 × 57.20
  4. Step 4: Simplify right side
    68.18x = 5,365.36
  5. Step 5: Solve for x
    x = 5,365.36/68.18
  6. Step 6: Final answer
    x = 78.69

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