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Finding the Fourth Proportional to 56.68, 78.20 and 44.48

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Solution

The fourth proportional to 56.68, 78.20 and 44.48 is: 61.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.68 : 78.20 = 44.48 : x
  2. Step 2: Convert to fraction form
    56.68/78.20 = 44.48/x
  3. Step 3: Cross multiply
    56.68x = 78.20 × 44.48
  4. Step 4: Simplify right side
    56.68x = 3,478.34
  5. Step 5: Solve for x
    x = 3,478.34/56.68
  6. Step 6: Final answer
    x = 61.37

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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.