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Finding the Fourth Proportional to 56.09, 77.37 and 46.73

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Solution

The fourth proportional to 56.09, 77.37 and 46.73 is: 64.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.09 : 77.37 = 46.73 : x
  2. Step 2: Convert to fraction form
    56.09/77.37 = 46.73/x
  3. Step 3: Cross multiply
    56.09x = 77.37 × 46.73
  4. Step 4: Simplify right side
    56.09x = 3,615.11
  5. Step 5: Solve for x
    x = 3,615.11/56.09
  6. Step 6: Final answer
    x = 64.46

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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.