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Finding the Fourth Proportional to 127.45, 176.03 and 113.64

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Solution

The fourth proportional to 127.45, 176.03 and 113.64 is: 156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.45 : 176.03 = 113.64 : x
  2. Step 2: Convert to fraction form
    127.45/176.03 = 113.64/x
  3. Step 3: Cross multiply
    127.45x = 176.03 × 113.64
  4. Step 4: Simplify right side
    127.45x = 20,004.05
  5. Step 5: Solve for x
    x = 20,004.05/127.45
  6. Step 6: Final answer
    x = 156.96

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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.