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Finding the Fourth Proportional to 177.06, 244.32 and 103.40

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Solution

The fourth proportional to 177.06, 244.32 and 103.40 is: 142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.06 : 244.32 = 103.40 : x
  2. Step 2: Convert to fraction form
    177.06/244.32 = 103.40/x
  3. Step 3: Cross multiply
    177.06x = 244.32 × 103.40
  4. Step 4: Simplify right side
    177.06x = 25,262.69
  5. Step 5: Solve for x
    x = 25,262.69/177.06
  6. Step 6: Final answer
    x = 142.68

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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.