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Finding the Fourth Proportional to 145.33, 200.34 and 103.82

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Solution

The fourth proportional to 145.33, 200.34 and 103.82 is: 143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.33 : 200.34 = 103.82 : x
  2. Step 2: Convert to fraction form
    145.33/200.34 = 103.82/x
  3. Step 3: Cross multiply
    145.33x = 200.34 × 103.82
  4. Step 4: Simplify right side
    145.33x = 20,798.30
  5. Step 5: Solve for x
    x = 20,798.30/145.33
  6. Step 6: Final answer
    x = 143.11

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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.