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Finding the Fourth Proportional to 125.91, 189.54 and 90.09

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Solution

The fourth proportional to 125.91, 189.54 and 90.09 is: 135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.91 : 189.54 = 90.09 : x
  2. Step 2: Convert to fraction form
    125.91/189.54 = 90.09/x
  3. Step 3: Cross multiply
    125.91x = 189.54 × 90.09
  4. Step 4: Simplify right side
    125.91x = 17,074.49
  5. Step 5: Solve for x
    x = 17,074.49/125.91
  6. Step 6: Final answer
    x = 135.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.