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Finding the Fourth Proportional to 103.53, 142.52 and 89.56

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Solution

The fourth proportional to 103.53, 142.52 and 89.56 is: 123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.53 : 142.52 = 89.56 : x
  2. Step 2: Convert to fraction form
    103.53/142.52 = 89.56/x
  3. Step 3: Cross multiply
    103.53x = 142.52 × 89.56
  4. Step 4: Simplify right side
    103.53x = 12,764.09
  5. Step 5: Solve for x
    x = 12,764.09/103.53
  6. Step 6: Final answer
    x = 123.29

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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.