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Finding the Fourth Proportional to 83.63, 124.85 and 83.06

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Solution

The fourth proportional to 83.63, 124.85 and 83.06 is: 123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.63 : 124.85 = 83.06 : x
  2. Step 2: Convert to fraction form
    83.63/124.85 = 83.06/x
  3. Step 3: Cross multiply
    83.63x = 124.85 × 83.06
  4. Step 4: Simplify right side
    83.63x = 10,369.00
  5. Step 5: Solve for x
    x = 10,369.00/83.63
  6. Step 6: Final answer
    x = 123.99

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