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Finding the Fourth Proportional to 44.34, 65.96 and 44.16

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Solution

The fourth proportional to 44.34, 65.96 and 44.16 is: 65.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.34 : 65.96 = 44.16 : x
  2. Step 2: Convert to fraction form
    44.34/65.96 = 44.16/x
  3. Step 3: Cross multiply
    44.34x = 65.96 × 44.16
  4. Step 4: Simplify right side
    44.34x = 2,912.57
  5. Step 5: Solve for x
    x = 2,912.57/44.34
  6. Step 6: Final answer
    x = 65.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.