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Finding the Fourth Proportional to 116.89, 161.71 and 102.38

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Solution

The fourth proportional to 116.89, 161.71 and 102.38 is: 141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.89 : 161.71 = 102.38 : x
  2. Step 2: Convert to fraction form
    116.89/161.71 = 102.38/x
  3. Step 3: Cross multiply
    116.89x = 161.71 × 102.38
  4. Step 4: Simplify right side
    116.89x = 16,554.81
  5. Step 5: Solve for x
    x = 16,554.81/116.89
  6. Step 6: Final answer
    x = 141.63

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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.