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Finding the Fourth Proportional to 177.75, 245.31 and 100.14

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Solution

The fourth proportional to 177.75, 245.31 and 100.14 is: 138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 245.31 = 100.14 : x
  2. Step 2: Convert to fraction form
    177.75/245.31 = 100.14/x
  3. Step 3: Cross multiply
    177.75x = 245.31 × 100.14
  4. Step 4: Simplify right side
    177.75x = 24,565.34
  5. Step 5: Solve for x
    x = 24,565.34/177.75
  6. Step 6: Final answer
    x = 138.20

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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.