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Finding the Fourth Proportional to 125.21, 172.86 and 83.82

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Solution

The fourth proportional to 125.21, 172.86 and 83.82 is: 115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.21 : 172.86 = 83.82 : x
  2. Step 2: Convert to fraction form
    125.21/172.86 = 83.82/x
  3. Step 3: Cross multiply
    125.21x = 172.86 × 83.82
  4. Step 4: Simplify right side
    125.21x = 14,489.13
  5. Step 5: Solve for x
    x = 14,489.13/125.21
  6. Step 6: Final answer
    x = 115.72

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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.