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Finding the Fourth Proportional to 76.53, 105.87 and 73.80

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Solution

The fourth proportional to 76.53, 105.87 and 73.80 is: 102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.53 : 105.87 = 73.80 : x
  2. Step 2: Convert to fraction form
    76.53/105.87 = 73.80/x
  3. Step 3: Cross multiply
    76.53x = 105.87 × 73.80
  4. Step 4: Simplify right side
    76.53x = 7,813.21
  5. Step 5: Solve for x
    x = 7,813.21/76.53
  6. Step 6: Final answer
    x = 102.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.