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Finding the Fourth Proportional to 117.75, 162.10 and 102.97

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Solution

The fourth proportional to 117.75, 162.10 and 102.97 is: 141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.75 : 162.10 = 102.97 : x
  2. Step 2: Convert to fraction form
    117.75/162.10 = 102.97/x
  3. Step 3: Cross multiply
    117.75x = 162.10 × 102.97
  4. Step 4: Simplify right side
    117.75x = 16,691.77
  5. Step 5: Solve for x
    x = 16,691.77/117.75
  6. Step 6: Final answer
    x = 141.75

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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.