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Finding the Fourth Proportional to 128.74, 177.57 and 108.04

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Solution

The fourth proportional to 128.74, 177.57 and 108.04 is: 149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.74 : 177.57 = 108.04 : x
  2. Step 2: Convert to fraction form
    128.74/177.57 = 108.04/x
  3. Step 3: Cross multiply
    128.74x = 177.57 × 108.04
  4. Step 4: Simplify right side
    128.74x = 19,184.66
  5. Step 5: Solve for x
    x = 19,184.66/128.74
  6. Step 6: Final answer
    x = 149.02

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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.