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Finding the Fourth Proportional to 150.82, 207.87 and 106.58

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Solution

The fourth proportional to 150.82, 207.87 and 106.58 is: 146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.82 : 207.87 = 106.58 : x
  2. Step 2: Convert to fraction form
    150.82/207.87 = 106.58/x
  3. Step 3: Cross multiply
    150.82x = 207.87 × 106.58
  4. Step 4: Simplify right side
    150.82x = 22,153.75
  5. Step 5: Solve for x
    x = 22,153.75/150.82
  6. Step 6: Final answer
    x = 146.89

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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.