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Finding the Fourth Proportional to 131.89, 197.56 and 106.07

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Solution

The fourth proportional to 131.89, 197.56 and 106.07 is: 158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.89 : 197.56 = 106.07 : x
  2. Step 2: Convert to fraction form
    131.89/197.56 = 106.07/x
  3. Step 3: Cross multiply
    131.89x = 197.56 × 106.07
  4. Step 4: Simplify right side
    131.89x = 20,955.37
  5. Step 5: Solve for x
    x = 20,955.37/131.89
  6. Step 6: Final answer
    x = 158.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.