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Finding the Fourth Proportional to 108.08, 149.31 and 70.82

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Solution

The fourth proportional to 108.08, 149.31 and 70.82 is: 97.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.08 : 149.31 = 70.82 : x
  2. Step 2: Convert to fraction form
    108.08/149.31 = 70.82/x
  3. Step 3: Cross multiply
    108.08x = 149.31 × 70.82
  4. Step 4: Simplify right side
    108.08x = 10,574.01
  5. Step 5: Solve for x
    x = 10,574.01/108.08
  6. Step 6: Final answer
    x = 97.84

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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.