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Finding the Fourth Proportional to 55.54, 76.30 and 49.47

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Solution

The fourth proportional to 55.54, 76.30 and 49.47 is: 67.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.54 : 76.30 = 49.47 : x
  2. Step 2: Convert to fraction form
    55.54/76.30 = 49.47/x
  3. Step 3: Cross multiply
    55.54x = 76.30 × 49.47
  4. Step 4: Simplify right side
    55.54x = 3,774.56
  5. Step 5: Solve for x
    x = 3,774.56/55.54
  6. Step 6: Final answer
    x = 67.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.