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Finding the Fourth Proportional to 134.09, 185.09 and 84.89

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Solution

The fourth proportional to 134.09, 185.09 and 84.89 is: 117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.09 : 185.09 = 84.89 : x
  2. Step 2: Convert to fraction form
    134.09/185.09 = 84.89/x
  3. Step 3: Cross multiply
    134.09x = 185.09 × 84.89
  4. Step 4: Simplify right side
    134.09x = 15,710.94
  5. Step 5: Solve for x
    x = 15,710.94/134.09
  6. Step 6: Final answer
    x = 117.17

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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.