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Finding the Fourth Proportional to 128.80, 193.17 and 102.07

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Solution

The fourth proportional to 128.80, 193.17 and 102.07 is: 153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.80 : 193.17 = 102.07 : x
  2. Step 2: Convert to fraction form
    128.80/193.17 = 102.07/x
  3. Step 3: Cross multiply
    128.80x = 193.17 × 102.07
  4. Step 4: Simplify right side
    128.80x = 19,716.86
  5. Step 5: Solve for x
    x = 19,716.86/128.80
  6. Step 6: Final answer
    x = 153.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.