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Finding the Fourth Proportional to 127.47, 189.90 and 120.49

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Solution

The fourth proportional to 127.47, 189.90 and 120.49 is: 179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.47 : 189.90 = 120.49 : x
  2. Step 2: Convert to fraction form
    127.47/189.90 = 120.49/x
  3. Step 3: Cross multiply
    127.47x = 189.90 × 120.49
  4. Step 4: Simplify right side
    127.47x = 22,881.05
  5. Step 5: Solve for x
    x = 22,881.05/127.47
  6. Step 6: Final answer
    x = 179.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.