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Finding the Fourth Proportional to 56.86, 78.47 and 30.98

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Solution

The fourth proportional to 56.86, 78.47 and 30.98 is: 42.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.86 : 78.47 = 30.98 : x
  2. Step 2: Convert to fraction form
    56.86/78.47 = 30.98/x
  3. Step 3: Cross multiply
    56.86x = 78.47 × 30.98
  4. Step 4: Simplify right side
    56.86x = 2,431.25
  5. Step 5: Solve for x
    x = 2,431.25/56.86
  6. Step 6: Final answer
    x = 42.76

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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.