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Finding the Fourth Proportional to 101.34, 138.96 and 95.67

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Solution

The fourth proportional to 101.34, 138.96 and 95.67 is: 131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.34 : 138.96 = 95.67 : x
  2. Step 2: Convert to fraction form
    101.34/138.96 = 95.67/x
  3. Step 3: Cross multiply
    101.34x = 138.96 × 95.67
  4. Step 4: Simplify right side
    101.34x = 13,294.30
  5. Step 5: Solve for x
    x = 13,294.30/101.34
  6. Step 6: Final answer
    x = 131.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.