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Finding the Fourth Proportional to 128.65, 177.43 and 93.80

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Solution

The fourth proportional to 128.65, 177.43 and 93.80 is: 129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.65 : 177.43 = 93.80 : x
  2. Step 2: Convert to fraction form
    128.65/177.43 = 93.80/x
  3. Step 3: Cross multiply
    128.65x = 177.43 × 93.80
  4. Step 4: Simplify right side
    128.65x = 16,642.93
  5. Step 5: Solve for x
    x = 16,642.93/128.65
  6. Step 6: Final answer
    x = 129.37

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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.