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Finding the Fourth Proportional to 145.27, 200.42 and 103.82

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Solution

The fourth proportional to 145.27, 200.42 and 103.82 is: 143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.27 : 200.42 = 103.82 : x
  2. Step 2: Convert to fraction form
    145.27/200.42 = 103.82/x
  3. Step 3: Cross multiply
    145.27x = 200.42 × 103.82
  4. Step 4: Simplify right side
    145.27x = 20,807.60
  5. Step 5: Solve for x
    x = 20,807.60/145.27
  6. Step 6: Final answer
    x = 143.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.