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Finding the Fourth Proportional to 131.40, 197.02 and 105.76

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Solution

The fourth proportional to 131.40, 197.02 and 105.76 is: 158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.40 : 197.02 = 105.76 : x
  2. Step 2: Convert to fraction form
    131.40/197.02 = 105.76/x
  3. Step 3: Cross multiply
    131.40x = 197.02 × 105.76
  4. Step 4: Simplify right side
    131.40x = 20,836.84
  5. Step 5: Solve for x
    x = 20,836.84/131.40
  6. Step 6: Final answer
    x = 158.58

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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.