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Finding the Fourth Proportional to 76.70, 105.75 and 73.02

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Solution

The fourth proportional to 76.70, 105.75 and 73.02 is: 100.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.70 : 105.75 = 73.02 : x
  2. Step 2: Convert to fraction form
    76.70/105.75 = 73.02/x
  3. Step 3: Cross multiply
    76.70x = 105.75 × 73.02
  4. Step 4: Simplify right side
    76.70x = 7,721.87
  5. Step 5: Solve for x
    x = 7,721.87/76.70
  6. Step 6: Final answer
    x = 100.68

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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.