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Finding the Fourth Proportional to 128.85, 177.90 and 98.07

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Solution

The fourth proportional to 128.85, 177.90 and 98.07 is: 135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.85 : 177.90 = 98.07 : x
  2. Step 2: Convert to fraction form
    128.85/177.90 = 98.07/x
  3. Step 3: Cross multiply
    128.85x = 177.90 × 98.07
  4. Step 4: Simplify right side
    128.85x = 17,446.65
  5. Step 5: Solve for x
    x = 17,446.65/128.85
  6. Step 6: Final answer
    x = 135.40

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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.