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Finding the Fourth Proportional to 83.99, 125.77 and 65.63

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Solution

The fourth proportional to 83.99, 125.77 and 65.63 is: 98.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.99 : 125.77 = 65.63 : x
  2. Step 2: Convert to fraction form
    83.99/125.77 = 65.63/x
  3. Step 3: Cross multiply
    83.99x = 125.77 × 65.63
  4. Step 4: Simplify right side
    83.99x = 8,254.29
  5. Step 5: Solve for x
    x = 8,254.29/83.99
  6. Step 6: Final answer
    x = 98.28

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Why These Related Problems?

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