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Finding the Fourth Proportional to 56.19, 77.56 and 36.78

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Solution

The fourth proportional to 56.19, 77.56 and 36.78 is: 50.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.19 : 77.56 = 36.78 : x
  2. Step 2: Convert to fraction form
    56.19/77.56 = 36.78/x
  3. Step 3: Cross multiply
    56.19x = 77.56 × 36.78
  4. Step 4: Simplify right side
    56.19x = 2,852.67
  5. Step 5: Solve for x
    x = 2,852.67/56.19
  6. Step 6: Final answer
    x = 50.77

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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.