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Finding the Fourth Proportional to 145.68, 201.24 and 126.24

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Solution

The fourth proportional to 145.68, 201.24 and 126.24 is: 174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.68 : 201.24 = 126.24 : x
  2. Step 2: Convert to fraction form
    145.68/201.24 = 126.24/x
  3. Step 3: Cross multiply
    145.68x = 201.24 × 126.24
  4. Step 4: Simplify right side
    145.68x = 25,404.54
  5. Step 5: Solve for x
    x = 25,404.54/145.68
  6. Step 6: Final answer
    x = 174.39

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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.