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Finding the Fourth Proportional to 65.34, 90.21 and 44.65

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Solution

The fourth proportional to 65.34, 90.21 and 44.65 is: 61.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.34 : 90.21 = 44.65 : x
  2. Step 2: Convert to fraction form
    65.34/90.21 = 44.65/x
  3. Step 3: Cross multiply
    65.34x = 90.21 × 44.65
  4. Step 4: Simplify right side
    65.34x = 4,028.16
  5. Step 5: Solve for x
    x = 4,028.16/65.34
  6. Step 6: Final answer
    x = 61.65

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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.