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Finding the Fourth Proportional to 95.64, 131.67 and 83.30

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Solution

The fourth proportional to 95.64, 131.67 and 83.30 is: 114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.64 : 131.67 = 83.30 : x
  2. Step 2: Convert to fraction form
    95.64/131.67 = 83.30/x
  3. Step 3: Cross multiply
    95.64x = 131.67 × 83.30
  4. Step 4: Simplify right side
    95.64x = 10,967.45
  5. Step 5: Solve for x
    x = 10,967.45/95.64
  6. Step 6: Final answer
    x = 114.67

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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.