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Finding the Fourth Proportional to 65.89, 90.94 and 41.35

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Solution

The fourth proportional to 65.89, 90.94 and 41.35 is: 57.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.89 : 90.94 = 41.35 : x
  2. Step 2: Convert to fraction form
    65.89/90.94 = 41.35/x
  3. Step 3: Cross multiply
    65.89x = 90.94 × 41.35
  4. Step 4: Simplify right side
    65.89x = 3,759.91
  5. Step 5: Solve for x
    x = 3,759.91/65.89
  6. Step 6: Final answer
    x = 57.06

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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.