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Finding the Fourth Proportional to 176.14, 243.03 and 105.23

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Solution

The fourth proportional to 176.14, 243.03 and 105.23 is: 145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.14 : 243.03 = 105.23 : x
  2. Step 2: Convert to fraction form
    176.14/243.03 = 105.23/x
  3. Step 3: Cross multiply
    176.14x = 243.03 × 105.23
  4. Step 4: Simplify right side
    176.14x = 25,575.05
  5. Step 5: Solve for x
    x = 25,575.05/176.14
  6. Step 6: Final answer
    x = 145.20

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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.