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Finding the Fourth Proportional to 145.14, 200.56 and 126.69

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Solution

The fourth proportional to 145.14, 200.56 and 126.69 is: 175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.14 : 200.56 = 126.69 : x
  2. Step 2: Convert to fraction form
    145.14/200.56 = 126.69/x
  3. Step 3: Cross multiply
    145.14x = 200.56 × 126.69
  4. Step 4: Simplify right side
    145.14x = 25,408.31
  5. Step 5: Solve for x
    x = 25,408.31/145.14
  6. Step 6: Final answer
    x = 175.06

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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.