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Finding the Fourth Proportional to 56.81, 78.26 and 40.40

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Solution

The fourth proportional to 56.81, 78.26 and 40.40 is: 55.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.81 : 78.26 = 40.40 : x
  2. Step 2: Convert to fraction form
    56.81/78.26 = 40.40/x
  3. Step 3: Cross multiply
    56.81x = 78.26 × 40.40
  4. Step 4: Simplify right side
    56.81x = 3,161.11
  5. Step 5: Solve for x
    x = 3,161.11/56.81
  6. Step 6: Final answer
    x = 55.65

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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.