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Finding the Fourth Proportional to 57.18, 78.79 and 52.70

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Solution

The fourth proportional to 57.18, 78.79 and 52.70 is: 72.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.18 : 78.79 = 52.70 : x
  2. Step 2: Convert to fraction form
    57.18/78.79 = 52.70/x
  3. Step 3: Cross multiply
    57.18x = 78.79 × 52.70
  4. Step 4: Simplify right side
    57.18x = 4,152.23
  5. Step 5: Solve for x
    x = 4,152.23/57.18
  6. Step 6: Final answer
    x = 72.62

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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.