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Finding the Fourth Proportional to 108.21, 149.32 and 61.57

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Solution

The fourth proportional to 108.21, 149.32 and 61.57 is: 84.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.21 : 149.32 = 61.57 : x
  2. Step 2: Convert to fraction form
    108.21/149.32 = 61.57/x
  3. Step 3: Cross multiply
    108.21x = 149.32 × 61.57
  4. Step 4: Simplify right side
    108.21x = 9,193.77
  5. Step 5: Solve for x
    x = 9,193.77/108.21
  6. Step 6: Final answer
    x = 84.96

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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.