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Finding the Fourth Proportional to 145.45, 200.74 and 82.45

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Solution

The fourth proportional to 145.45, 200.74 and 82.45 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.45 : 200.74 = 82.45 : x
  2. Step 2: Convert to fraction form
    145.45/200.74 = 82.45/x
  3. Step 3: Cross multiply
    145.45x = 200.74 × 82.45
  4. Step 4: Simplify right side
    145.45x = 16,549.60
  5. Step 5: Solve for x
    x = 16,549.60/145.45
  6. Step 6: Final answer
    x = 113.78

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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.