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Finding the Fourth Proportional to 145.14, 200.30 and 82.98

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Solution

The fourth proportional to 145.14, 200.30 and 82.98 is: 114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.14 : 200.30 = 82.98 : x
  2. Step 2: Convert to fraction form
    145.14/200.30 = 82.98/x
  3. Step 3: Cross multiply
    145.14x = 200.30 × 82.98
  4. Step 4: Simplify right side
    145.14x = 16,620.89
  5. Step 5: Solve for x
    x = 16,620.89/145.14
  6. Step 6: Final answer
    x = 114.52

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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.