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Finding the Fourth Proportional to 76.84, 115.38 and 73.13

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Solution

The fourth proportional to 76.84, 115.38 and 73.13 is: 109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.84 : 115.38 = 73.13 : x
  2. Step 2: Convert to fraction form
    76.84/115.38 = 73.13/x
  3. Step 3: Cross multiply
    76.84x = 115.38 × 73.13
  4. Step 4: Simplify right side
    76.84x = 8,436.80
  5. Step 5: Solve for x
    x = 8,436.80/76.84
  6. Step 6: Final answer
    x = 109.80

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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.