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Finding the Fourth Proportional to 56.53, 78.09 and 40.12

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Solution

The fourth proportional to 56.53, 78.09 and 40.12 is: 55.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.53 : 78.09 = 40.12 : x
  2. Step 2: Convert to fraction form
    56.53/78.09 = 40.12/x
  3. Step 3: Cross multiply
    56.53x = 78.09 × 40.12
  4. Step 4: Simplify right side
    56.53x = 3,132.97
  5. Step 5: Solve for x
    x = 3,132.97/56.53
  6. Step 6: Final answer
    x = 55.42

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Why These Related Problems?

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