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Finding the Fourth Proportional to 55.83, 76.82 and 48.88

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Solution

The fourth proportional to 55.83, 76.82 and 48.88 is: 67.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.83 : 76.82 = 48.88 : x
  2. Step 2: Convert to fraction form
    55.83/76.82 = 48.88/x
  3. Step 3: Cross multiply
    55.83x = 76.82 × 48.88
  4. Step 4: Simplify right side
    55.83x = 3,754.96
  5. Step 5: Solve for x
    x = 3,754.96/55.83
  6. Step 6: Final answer
    x = 67.26

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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.