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Finding the Fourth Proportional to 55.26, 76.08 and 47.04

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Solution

The fourth proportional to 55.26, 76.08 and 47.04 is: 64.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.26 : 76.08 = 47.04 : x
  2. Step 2: Convert to fraction form
    55.26/76.08 = 47.04/x
  3. Step 3: Cross multiply
    55.26x = 76.08 × 47.04
  4. Step 4: Simplify right side
    55.26x = 3,578.80
  5. Step 5: Solve for x
    x = 3,578.80/55.26
  6. Step 6: Final answer
    x = 64.76

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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.