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Finding the Fourth Proportional to 127.11, 189.65 and 114.06

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Solution

The fourth proportional to 127.11, 189.65 and 114.06 is: 170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.11 : 189.65 = 114.06 : x
  2. Step 2: Convert to fraction form
    127.11/189.65 = 114.06/x
  3. Step 3: Cross multiply
    127.11x = 189.65 × 114.06
  4. Step 4: Simplify right side
    127.11x = 21,630.91
  5. Step 5: Solve for x
    x = 21,630.91/127.11
  6. Step 6: Final answer
    x = 170.17

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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.