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Finding the Fourth Proportional to 55.76, 76.74 and 48.84

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Solution

The fourth proportional to 55.76, 76.74 and 48.84 is: 67.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.76 : 76.74 = 48.84 : x
  2. Step 2: Convert to fraction form
    55.76/76.74 = 48.84/x
  3. Step 3: Cross multiply
    55.76x = 76.74 × 48.84
  4. Step 4: Simplify right side
    55.76x = 3,747.98
  5. Step 5: Solve for x
    x = 3,747.98/55.76
  6. Step 6: Final answer
    x = 67.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.