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Finding the Fourth Proportional to 128.22, 177.02 and 102.03

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Solution

The fourth proportional to 128.22, 177.02 and 102.03 is: 140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.22 : 177.02 = 102.03 : x
  2. Step 2: Convert to fraction form
    128.22/177.02 = 102.03/x
  3. Step 3: Cross multiply
    128.22x = 177.02 × 102.03
  4. Step 4: Simplify right side
    128.22x = 18,061.35
  5. Step 5: Solve for x
    x = 18,061.35/128.22
  6. Step 6: Final answer
    x = 140.86

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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.