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Finding the Fourth Proportional to 128.91, 177.90 and 102.63

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Solution

The fourth proportional to 128.91, 177.90 and 102.63 is: 141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.91 : 177.90 = 102.63 : x
  2. Step 2: Convert to fraction form
    128.91/177.90 = 102.63/x
  3. Step 3: Cross multiply
    128.91x = 177.90 × 102.63
  4. Step 4: Simplify right side
    128.91x = 18,257.88
  5. Step 5: Solve for x
    x = 18,257.88/128.91
  6. Step 6: Final answer
    x = 141.63

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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.