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Finding the Fourth Proportional to 127.20, 189.96 and 101.01

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Solution

The fourth proportional to 127.20, 189.96 and 101.01 is: 150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.20 : 189.96 = 101.01 : x
  2. Step 2: Convert to fraction form
    127.20/189.96 = 101.01/x
  3. Step 3: Cross multiply
    127.20x = 189.96 × 101.01
  4. Step 4: Simplify right side
    127.20x = 19,187.86
  5. Step 5: Solve for x
    x = 19,187.86/127.20
  6. Step 6: Final answer
    x = 150.85

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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.