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Finding the Fourth Proportional to 125.89, 189.07 and 77.29

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Solution

The fourth proportional to 125.89, 189.07 and 77.29 is: 116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.89 : 189.07 = 77.29 : x
  2. Step 2: Convert to fraction form
    125.89/189.07 = 77.29/x
  3. Step 3: Cross multiply
    125.89x = 189.07 × 77.29
  4. Step 4: Simplify right side
    125.89x = 14,612.55
  5. Step 5: Solve for x
    x = 14,612.55/125.89
  6. Step 6: Final answer
    x = 116.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.