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Finding the Fourth Proportional to 131.35, 197.07 and 102.50

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Solution

The fourth proportional to 131.35, 197.07 and 102.50 is: 153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.35 : 197.07 = 102.50 : x
  2. Step 2: Convert to fraction form
    131.35/197.07 = 102.50/x
  3. Step 3: Cross multiply
    131.35x = 197.07 × 102.50
  4. Step 4: Simplify right side
    131.35x = 20,199.68
  5. Step 5: Solve for x
    x = 20,199.68/131.35
  6. Step 6: Final answer
    x = 153.79

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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.