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Finding the Fourth Proportional to 134.06, 185.07 and 84.95

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Solution

The fourth proportional to 134.06, 185.07 and 84.95 is: 117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.06 : 185.07 = 84.95 : x
  2. Step 2: Convert to fraction form
    134.06/185.07 = 84.95/x
  3. Step 3: Cross multiply
    134.06x = 185.07 × 84.95
  4. Step 4: Simplify right side
    134.06x = 15,720.77
  5. Step 5: Solve for x
    x = 15,720.77/134.06
  6. Step 6: Final answer
    x = 117.27

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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.