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Finding the Fourth Proportional to 134.06, 184.63 and 97.15

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Solution

The fourth proportional to 134.06, 184.63 and 97.15 is: 133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.06 : 184.63 = 97.15 : x
  2. Step 2: Convert to fraction form
    134.06/184.63 = 97.15/x
  3. Step 3: Cross multiply
    134.06x = 184.63 × 97.15
  4. Step 4: Simplify right side
    134.06x = 17,936.80
  5. Step 5: Solve for x
    x = 17,936.80/134.06
  6. Step 6: Final answer
    x = 133.80

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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.