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Finding the Fourth Proportional to 131.68, 197.28 and 103.12

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Solution

The fourth proportional to 131.68, 197.28 and 103.12 is: 154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.68 : 197.28 = 103.12 : x
  2. Step 2: Convert to fraction form
    131.68/197.28 = 103.12/x
  3. Step 3: Cross multiply
    131.68x = 197.28 × 103.12
  4. Step 4: Simplify right side
    131.68x = 20,343.51
  5. Step 5: Solve for x
    x = 20,343.51/131.68
  6. Step 6: Final answer
    x = 154.49

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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.