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Finding the Fourth Proportional to 176.60, 243.73 and 102.96

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Solution

The fourth proportional to 176.60, 243.73 and 102.96 is: 142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.60 : 243.73 = 102.96 : x
  2. Step 2: Convert to fraction form
    176.60/243.73 = 102.96/x
  3. Step 3: Cross multiply
    176.60x = 243.73 × 102.96
  4. Step 4: Simplify right side
    176.60x = 25,094.09
  5. Step 5: Solve for x
    x = 25,094.09/176.60
  6. Step 6: Final answer
    x = 142.10

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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.