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Finding the Fourth Proportional to 145.74, 201.14 and 109

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Solution

The fourth proportional to 145.74, 201.14 and 109 is: 150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 201.14 = 109 : x
  2. Step 2: Convert to fraction form
    145.74/201.14 = 109/x
  3. Step 3: Cross multiply
    145.74x = 201.14 × 109
  4. Step 4: Simplify right side
    145.74x = 21,924.26
  5. Step 5: Solve for x
    x = 21,924.26/145.74
  6. Step 6: Final answer
    x = 150.43

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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.