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Finding the Fourth Proportional to 117.10, 161.69 and 102.70

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Solution

The fourth proportional to 117.10, 161.69 and 102.70 is: 141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.10 : 161.69 = 102.70 : x
  2. Step 2: Convert to fraction form
    117.10/161.69 = 102.70/x
  3. Step 3: Cross multiply
    117.10x = 161.69 × 102.70
  4. Step 4: Simplify right side
    117.10x = 16,605.56
  5. Step 5: Solve for x
    x = 16,605.56/117.10
  6. Step 6: Final answer
    x = 141.81

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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.