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Finding the Fourth Proportional to 103.25, 142.44 and 70.53

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Solution

The fourth proportional to 103.25, 142.44 and 70.53 is: 97.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.25 : 142.44 = 70.53 : x
  2. Step 2: Convert to fraction form
    103.25/142.44 = 70.53/x
  3. Step 3: Cross multiply
    103.25x = 142.44 × 70.53
  4. Step 4: Simplify right side
    103.25x = 10,046.29
  5. Step 5: Solve for x
    x = 10,046.29/103.25
  6. Step 6: Final answer
    x = 97.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.