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Finding the Fourth Proportional to 108.17, 149.27 and 61.52

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Solution

The fourth proportional to 108.17, 149.27 and 61.52 is: 84.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.17 : 149.27 = 61.52 : x
  2. Step 2: Convert to fraction form
    108.17/149.27 = 61.52/x
  3. Step 3: Cross multiply
    108.17x = 149.27 × 61.52
  4. Step 4: Simplify right side
    108.17x = 9,182.50
  5. Step 5: Solve for x
    x = 9,182.50/108.17
  6. Step 6: Final answer
    x = 84.89

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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.