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Finding the Fourth Proportional to 137.51, 189.54 and 97.65

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Solution

The fourth proportional to 137.51, 189.54 and 97.65 is: 134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.51 : 189.54 = 97.65 : x
  2. Step 2: Convert to fraction form
    137.51/189.54 = 97.65/x
  3. Step 3: Cross multiply
    137.51x = 189.54 × 97.65
  4. Step 4: Simplify right side
    137.51x = 18,507.63
  5. Step 5: Solve for x
    x = 18,507.63/137.51
  6. Step 6: Final answer
    x = 134.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.