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Finding the Fourth Proportional to 145.14, 200.28 and 82.94

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Solution

The fourth proportional to 145.14, 200.28 and 82.94 is: 114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.14 : 200.28 = 82.94 : x
  2. Step 2: Convert to fraction form
    145.14/200.28 = 82.94/x
  3. Step 3: Cross multiply
    145.14x = 200.28 × 82.94
  4. Step 4: Simplify right side
    145.14x = 16,611.22
  5. Step 5: Solve for x
    x = 16,611.22/145.14
  6. Step 6: Final answer
    x = 114.45

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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.