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Finding the Fourth Proportional to 56.80, 78.37 and 49.10

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Solution

The fourth proportional to 56.80, 78.37 and 49.10 is: 67.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.80 : 78.37 = 49.10 : x
  2. Step 2: Convert to fraction form
    56.80/78.37 = 49.10/x
  3. Step 3: Cross multiply
    56.80x = 78.37 × 49.10
  4. Step 4: Simplify right side
    56.80x = 3,847.45
  5. Step 5: Solve for x
    x = 3,847.45/56.80
  6. Step 6: Final answer
    x = 67.74

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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.