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Finding the Fourth Proportional to 103.09, 142.30 and 69.95

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Solution

The fourth proportional to 103.09, 142.30 and 69.95 is: 96.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.09 : 142.30 = 69.95 : x
  2. Step 2: Convert to fraction form
    103.09/142.30 = 69.95/x
  3. Step 3: Cross multiply
    103.09x = 142.30 × 69.95
  4. Step 4: Simplify right side
    103.09x = 9,953.89
  5. Step 5: Solve for x
    x = 9,953.89/103.09
  6. Step 6: Final answer
    x = 96.56

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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.