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Finding the Fourth Proportional to 145.72, 200.94 and 102.04

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Solution

The fourth proportional to 145.72, 200.94 and 102.04 is: 140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.72 : 200.94 = 102.04 : x
  2. Step 2: Convert to fraction form
    145.72/200.94 = 102.04/x
  3. Step 3: Cross multiply
    145.72x = 200.94 × 102.04
  4. Step 4: Simplify right side
    145.72x = 20,503.92
  5. Step 5: Solve for x
    x = 20,503.92/145.72
  6. Step 6: Final answer
    x = 140.71

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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.