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Finding the Fourth Proportional to 108.20, 149.14 and 78.64

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Solution

The fourth proportional to 108.20, 149.14 and 78.64 is: 108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.20 : 149.14 = 78.64 : x
  2. Step 2: Convert to fraction form
    108.20/149.14 = 78.64/x
  3. Step 3: Cross multiply
    108.20x = 149.14 × 78.64
  4. Step 4: Simplify right side
    108.20x = 11,728.37
  5. Step 5: Solve for x
    x = 11,728.37/108.20
  6. Step 6: Final answer
    x = 108.40

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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.