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Finding the Fourth Proportional to 145.78, 201.18 and 109.06

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Solution

The fourth proportional to 145.78, 201.18 and 109.06 is: 150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.78 : 201.18 = 109.06 : x
  2. Step 2: Convert to fraction form
    145.78/201.18 = 109.06/x
  3. Step 3: Cross multiply
    145.78x = 201.18 × 109.06
  4. Step 4: Simplify right side
    145.78x = 21,940.69
  5. Step 5: Solve for x
    x = 21,940.69/145.78
  6. Step 6: Final answer
    x = 150.51

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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.