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Finding the Fourth Proportional to 125.84, 173.85 and 91.05

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Solution

The fourth proportional to 125.84, 173.85 and 91.05 is: 125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.84 : 173.85 = 91.05 : x
  2. Step 2: Convert to fraction form
    125.84/173.85 = 91.05/x
  3. Step 3: Cross multiply
    125.84x = 173.85 × 91.05
  4. Step 4: Simplify right side
    125.84x = 15,829.04
  5. Step 5: Solve for x
    x = 15,829.04/125.84
  6. Step 6: Final answer
    x = 125.79

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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.