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Finding the Fourth Proportional to 56.75, 78.39 and 42.98

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Solution

The fourth proportional to 56.75, 78.39 and 42.98 is: 59.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.75 : 78.39 = 42.98 : x
  2. Step 2: Convert to fraction form
    56.75/78.39 = 42.98/x
  3. Step 3: Cross multiply
    56.75x = 78.39 × 42.98
  4. Step 4: Simplify right side
    56.75x = 3,369.40
  5. Step 5: Solve for x
    x = 3,369.40/56.75
  6. Step 6: Final answer
    x = 59.37

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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.