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Finding the Fourth Proportional to 103.41, 142.70 and 93.69

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Solution

The fourth proportional to 103.41, 142.70 and 93.69 is: 129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.41 : 142.70 = 93.69 : x
  2. Step 2: Convert to fraction form
    103.41/142.70 = 93.69/x
  3. Step 3: Cross multiply
    103.41x = 142.70 × 93.69
  4. Step 4: Simplify right side
    103.41x = 13,369.09
  5. Step 5: Solve for x
    x = 13,369.09/103.41
  6. Step 6: Final answer
    x = 129.28

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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.