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Finding the Fourth Proportional to 56.09, 77.40 and 32.78

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Solution

The fourth proportional to 56.09, 77.40 and 32.78 is: 45.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.09 : 77.40 = 32.78 : x
  2. Step 2: Convert to fraction form
    56.09/77.40 = 32.78/x
  3. Step 3: Cross multiply
    56.09x = 77.40 × 32.78
  4. Step 4: Simplify right side
    56.09x = 2,537.17
  5. Step 5: Solve for x
    x = 2,537.17/56.09
  6. Step 6: Final answer
    x = 45.23

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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.