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Finding the Fourth Proportional to 142.35, 196.53 and 103.23

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Solution

The fourth proportional to 142.35, 196.53 and 103.23 is: 142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.35 : 196.53 = 103.23 : x
  2. Step 2: Convert to fraction form
    142.35/196.53 = 103.23/x
  3. Step 3: Cross multiply
    142.35x = 196.53 × 103.23
  4. Step 4: Simplify right side
    142.35x = 20,287.79
  5. Step 5: Solve for x
    x = 20,287.79/142.35
  6. Step 6: Final answer
    x = 142.52

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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.