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Finding the Fourth Proportional to 128.95, 193.40 and 107.42

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Solution

The fourth proportional to 128.95, 193.40 and 107.42 is: 161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.95 : 193.40 = 107.42 : x
  2. Step 2: Convert to fraction form
    128.95/193.40 = 107.42/x
  3. Step 3: Cross multiply
    128.95x = 193.40 × 107.42
  4. Step 4: Simplify right side
    128.95x = 20,774.06
  5. Step 5: Solve for x
    x = 20,774.06/128.95
  6. Step 6: Final answer
    x = 161.11

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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.