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Finding the Fourth Proportional to 150.28, 207.32 and 106.54

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Solution

The fourth proportional to 150.28, 207.32 and 106.54 is: 146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.28 : 207.32 = 106.54 : x
  2. Step 2: Convert to fraction form
    150.28/207.32 = 106.54/x
  3. Step 3: Cross multiply
    150.28x = 207.32 × 106.54
  4. Step 4: Simplify right side
    150.28x = 22,087.87
  5. Step 5: Solve for x
    x = 22,087.87/150.28
  6. Step 6: Final answer
    x = 146.98

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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.