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Finding the Fourth Proportional to 65.80, 90.92 and 49.54

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Solution

The fourth proportional to 65.80, 90.92 and 49.54 is: 68.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.80 : 90.92 = 49.54 : x
  2. Step 2: Convert to fraction form
    65.80/90.92 = 49.54/x
  3. Step 3: Cross multiply
    65.80x = 90.92 × 49.54
  4. Step 4: Simplify right side
    65.80x = 4,504.18
  5. Step 5: Solve for x
    x = 4,504.18/65.80
  6. Step 6: Final answer
    x = 68.45

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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.