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Finding the Fourth Proportional to 56.44, 78.18 and 51.88

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Solution

The fourth proportional to 56.44, 78.18 and 51.88 is: 71.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.44 : 78.18 = 51.88 : x
  2. Step 2: Convert to fraction form
    56.44/78.18 = 51.88/x
  3. Step 3: Cross multiply
    56.44x = 78.18 × 51.88
  4. Step 4: Simplify right side
    56.44x = 4,055.98
  5. Step 5: Solve for x
    x = 4,055.98/56.44
  6. Step 6: Final answer
    x = 71.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.