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Finding the Fourth Proportional to 55.34, 76.30 and 39.78

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Solution

The fourth proportional to 55.34, 76.30 and 39.78 is: 54.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.34 : 76.30 = 39.78 : x
  2. Step 2: Convert to fraction form
    55.34/76.30 = 39.78/x
  3. Step 3: Cross multiply
    55.34x = 76.30 × 39.78
  4. Step 4: Simplify right side
    55.34x = 3,035.21
  5. Step 5: Solve for x
    x = 3,035.21/55.34
  6. Step 6: Final answer
    x = 54.85

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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.