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Finding the Fourth Proportional to 108.47, 149.69 and 61.84

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Solution

The fourth proportional to 108.47, 149.69 and 61.84 is: 85.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.47 : 149.69 = 61.84 : x
  2. Step 2: Convert to fraction form
    108.47/149.69 = 61.84/x
  3. Step 3: Cross multiply
    108.47x = 149.69 × 61.84
  4. Step 4: Simplify right side
    108.47x = 9,257.29
  5. Step 5: Solve for x
    x = 9,257.29/108.47
  6. Step 6: Final answer
    x = 85.34

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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.