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Finding the Fourth Proportional to 177.01, 244.23 and 107.01

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Solution

The fourth proportional to 177.01, 244.23 and 107.01 is: 147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.01 : 244.23 = 107.01 : x
  2. Step 2: Convert to fraction form
    177.01/244.23 = 107.01/x
  3. Step 3: Cross multiply
    177.01x = 244.23 × 107.01
  4. Step 4: Simplify right side
    177.01x = 26,134.65
  5. Step 5: Solve for x
    x = 26,134.65/177.01
  6. Step 6: Final answer
    x = 147.65

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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.