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Finding the Fourth Proportional to 140.60, 193.94 and 125.16

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Solution

The fourth proportional to 140.60, 193.94 and 125.16 is: 172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.60 : 193.94 = 125.16 : x
  2. Step 2: Convert to fraction form
    140.60/193.94 = 125.16/x
  3. Step 3: Cross multiply
    140.60x = 193.94 × 125.16
  4. Step 4: Simplify right side
    140.60x = 24,273.53
  5. Step 5: Solve for x
    x = 24,273.53/140.60
  6. Step 6: Final answer
    x = 172.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.