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Finding the Fourth Proportional to 56.96, 78.59 and 36.26

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Solution

The fourth proportional to 56.96, 78.59 and 36.26 is: 50.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.96 : 78.59 = 36.26 : x
  2. Step 2: Convert to fraction form
    56.96/78.59 = 36.26/x
  3. Step 3: Cross multiply
    56.96x = 78.59 × 36.26
  4. Step 4: Simplify right side
    56.96x = 2,849.78
  5. Step 5: Solve for x
    x = 2,849.78/56.96
  6. Step 6: Final answer
    x = 50.04

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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.