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Finding the Fourth Proportional to 82.63, 123.98 and 44.16

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Solution

The fourth proportional to 82.63, 123.98 and 44.16 is: 66.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.63 : 123.98 = 44.16 : x
  2. Step 2: Convert to fraction form
    82.63/123.98 = 44.16/x
  3. Step 3: Cross multiply
    82.63x = 123.98 × 44.16
  4. Step 4: Simplify right side
    82.63x = 5,474.96
  5. Step 5: Solve for x
    x = 5,474.96/82.63
  6. Step 6: Final answer
    x = 66.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.