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Finding the Fourth Proportional to 108.21, 149.40 and 107.00

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Solution

The fourth proportional to 108.21, 149.40 and 107.00 is: 147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.21 : 149.40 = 107.00 : x
  2. Step 2: Convert to fraction form
    108.21/149.40 = 107.00/x
  3. Step 3: Cross multiply
    108.21x = 149.40 × 107.00
  4. Step 4: Simplify right side
    108.21x = 15,985.05
  5. Step 5: Solve for x
    x = 15,985.05/108.21
  6. Step 6: Final answer
    x = 147.72

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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.