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Finding the Fourth Proportional to 102.98, 142.01 and 69.27

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Solution

The fourth proportional to 102.98, 142.01 and 69.27 is: 95.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.98 : 142.01 = 69.27 : x
  2. Step 2: Convert to fraction form
    102.98/142.01 = 69.27/x
  3. Step 3: Cross multiply
    102.98x = 142.01 × 69.27
  4. Step 4: Simplify right side
    102.98x = 9,836.32
  5. Step 5: Solve for x
    x = 9,836.32/102.98
  6. Step 6: Final answer
    x = 95.52

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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.