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Finding the Fourth Proportional to 102.33, 141.29 and 88.43

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Solution

The fourth proportional to 102.33, 141.29 and 88.43 is: 122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.33 : 141.29 = 88.43 : x
  2. Step 2: Convert to fraction form
    102.33/141.29 = 88.43/x
  3. Step 3: Cross multiply
    102.33x = 141.29 × 88.43
  4. Step 4: Simplify right side
    102.33x = 12,493.13
  5. Step 5: Solve for x
    x = 12,493.13/102.33
  6. Step 6: Final answer
    x = 122.09

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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.