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Finding the Fourth Proportional to 176.64, 243.74 and 102.96

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Solution

The fourth proportional to 176.64, 243.74 and 102.96 is: 142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.64 : 243.74 = 102.96 : x
  2. Step 2: Convert to fraction form
    176.64/243.74 = 102.96/x
  3. Step 3: Cross multiply
    176.64x = 243.74 × 102.96
  4. Step 4: Simplify right side
    176.64x = 25,095.47
  5. Step 5: Solve for x
    x = 25,095.47/176.64
  6. Step 6: Final answer
    x = 142.07

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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.