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Finding the Fourth Proportional to 145.44, 200.70 and 83.30

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Solution

The fourth proportional to 145.44, 200.70 and 83.30 is: 114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.44 : 200.70 = 83.30 : x
  2. Step 2: Convert to fraction form
    145.44/200.70 = 83.30/x
  3. Step 3: Cross multiply
    145.44x = 200.70 × 83.30
  4. Step 4: Simplify right side
    145.44x = 16,717.31
  5. Step 5: Solve for x
    x = 16,717.31/145.44
  6. Step 6: Final answer
    x = 114.94

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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.