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Finding the Fourth Proportional to 56.24, 77.60 and 39.84

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Solution

The fourth proportional to 56.24, 77.60 and 39.84 is: 54.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.24 : 77.60 = 39.84 : x
  2. Step 2: Convert to fraction form
    56.24/77.60 = 39.84/x
  3. Step 3: Cross multiply
    56.24x = 77.60 × 39.84
  4. Step 4: Simplify right side
    56.24x = 3,091.58
  5. Step 5: Solve for x
    x = 3,091.58/56.24
  6. Step 6: Final answer
    x = 54.97

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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.