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Finding the Fourth Proportional to 55.83, 76.55 and 55.74

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Solution

The fourth proportional to 55.83, 76.55 and 55.74 is: 76.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.83 : 76.55 = 55.74 : x
  2. Step 2: Convert to fraction form
    55.83/76.55 = 55.74/x
  3. Step 3: Cross multiply
    55.83x = 76.55 × 55.74
  4. Step 4: Simplify right side
    55.83x = 4,266.62
  5. Step 5: Solve for x
    x = 4,266.62/55.83
  6. Step 6: Final answer
    x = 76.42

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