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Finding the Fourth Proportional to 137.07, 189.16 and 90.51

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Solution

The fourth proportional to 137.07, 189.16 and 90.51 is: 124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.07 : 189.16 = 90.51 : x
  2. Step 2: Convert to fraction form
    137.07/189.16 = 90.51/x
  3. Step 3: Cross multiply
    137.07x = 189.16 × 90.51
  4. Step 4: Simplify right side
    137.07x = 17,120.42
  5. Step 5: Solve for x
    x = 17,120.42/137.07
  6. Step 6: Final answer
    x = 124.90

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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.