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Finding the Fourth Proportional to 65.82, 90.83 and 55.43

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Solution

The fourth proportional to 65.82, 90.83 and 55.43 is: 76.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.82 : 90.83 = 55.43 : x
  2. Step 2: Convert to fraction form
    65.82/90.83 = 55.43/x
  3. Step 3: Cross multiply
    65.82x = 90.83 × 55.43
  4. Step 4: Simplify right side
    65.82x = 5,034.39
  5. Step 5: Solve for x
    x = 5,034.39/65.82
  6. Step 6: Final answer
    x = 76.49

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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.