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Finding the Fourth Proportional to 56.32, 77.74 and 38.84

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Solution

The fourth proportional to 56.32, 77.74 and 38.84 is: 53.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.32 : 77.74 = 38.84 : x
  2. Step 2: Convert to fraction form
    56.32/77.74 = 38.84/x
  3. Step 3: Cross multiply
    56.32x = 77.74 × 38.84
  4. Step 4: Simplify right side
    56.32x = 3,019.42
  5. Step 5: Solve for x
    x = 3,019.42/56.32
  6. Step 6: Final answer
    x = 53.61

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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.