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Finding the Fourth Proportional to 108.42, 149.60 and 61.77

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Solution

The fourth proportional to 108.42, 149.60 and 61.77 is: 85.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.42 : 149.60 = 61.77 : x
  2. Step 2: Convert to fraction form
    108.42/149.60 = 61.77/x
  3. Step 3: Cross multiply
    108.42x = 149.60 × 61.77
  4. Step 4: Simplify right side
    108.42x = 9,240.48
  5. Step 5: Solve for x
    x = 9,240.48/108.42
  6. Step 6: Final answer
    x = 85.23

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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.