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Finding the Fourth Proportional to 145, 200.07 and 82.83

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Solution

The fourth proportional to 145, 200.07 and 82.83 is: 114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145 : 200.07 = 82.83 : x
  2. Step 2: Convert to fraction form
    145/200.07 = 82.83/x
  3. Step 3: Cross multiply
    145x = 200.07 × 82.83
  4. Step 4: Simplify right side
    145x = 16,571.80
  5. Step 5: Solve for x
    x = 16,571.80/145
  6. Step 6: Final answer
    x = 114.29

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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.