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Finding the Fourth Proportional to 177.69, 245.21 and 100.07

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Solution

The fourth proportional to 177.69, 245.21 and 100.07 is: 138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.69 : 245.21 = 100.07 : x
  2. Step 2: Convert to fraction form
    177.69/245.21 = 100.07/x
  3. Step 3: Cross multiply
    177.69x = 245.21 × 100.07
  4. Step 4: Simplify right side
    177.69x = 24,536.94
  5. Step 5: Solve for x
    x = 24,536.94/177.69
  6. Step 6: Final answer
    x = 138.09

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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.