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Finding the Fourth Proportional to 125.46, 172.85 and 102.15

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Solution

The fourth proportional to 125.46, 172.85 and 102.15 is: 140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.46 : 172.85 = 102.15 : x
  2. Step 2: Convert to fraction form
    125.46/172.85 = 102.15/x
  3. Step 3: Cross multiply
    125.46x = 172.85 × 102.15
  4. Step 4: Simplify right side
    125.46x = 17,656.12
  5. Step 5: Solve for x
    x = 17,656.12/125.46
  6. Step 6: Final answer
    x = 140.73

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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.