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Finding the Fourth Proportional to 128.86, 177.97 and 100.10

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Solution

The fourth proportional to 128.86, 177.97 and 100.10 is: 138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.86 : 177.97 = 100.10 : x
  2. Step 2: Convert to fraction form
    128.86/177.97 = 100.10/x
  3. Step 3: Cross multiply
    128.86x = 177.97 × 100.10
  4. Step 4: Simplify right side
    128.86x = 17,814.80
  5. Step 5: Solve for x
    x = 17,814.80/128.86
  6. Step 6: Final answer
    x = 138.25

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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.