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Finding the Fourth Proportional to 145.32, 200.24 and 103.75

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Solution

The fourth proportional to 145.32, 200.24 and 103.75 is: 142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.32 : 200.24 = 103.75 : x
  2. Step 2: Convert to fraction form
    145.32/200.24 = 103.75/x
  3. Step 3: Cross multiply
    145.32x = 200.24 × 103.75
  4. Step 4: Simplify right side
    145.32x = 20,774.90
  5. Step 5: Solve for x
    x = 20,774.90/145.32
  6. Step 6: Final answer
    x = 142.96

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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.