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Finding the Fourth Proportional to 137.06, 189.34 and 97.84

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Solution

The fourth proportional to 137.06, 189.34 and 97.84 is: 135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.06 : 189.34 = 97.84 : x
  2. Step 2: Convert to fraction form
    137.06/189.34 = 97.84/x
  3. Step 3: Cross multiply
    137.06x = 189.34 × 97.84
  4. Step 4: Simplify right side
    137.06x = 18,525.02
  5. Step 5: Solve for x
    x = 18,525.02/137.06
  6. Step 6: Final answer
    x = 135.16

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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.