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Finding the Fourth Proportional to 108.40, 149.54 and 64.73

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Solution

The fourth proportional to 108.40, 149.54 and 64.73 is: 89.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.40 : 149.54 = 64.73 : x
  2. Step 2: Convert to fraction form
    108.40/149.54 = 64.73/x
  3. Step 3: Cross multiply
    108.40x = 149.54 × 64.73
  4. Step 4: Simplify right side
    108.40x = 9,679.72
  5. Step 5: Solve for x
    x = 9,679.72/108.40
  6. Step 6: Final answer
    x = 89.30

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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.