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Finding the Fourth Proportional to 138.60, 191.40 and 95.04

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Solution

The fourth proportional to 138.60, 191.40 and 95.04 is: 131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.60 : 191.40 = 95.04 : x
  2. Step 2: Convert to fraction form
    138.60/191.40 = 95.04/x
  3. Step 3: Cross multiply
    138.60x = 191.40 × 95.04
  4. Step 4: Simplify right side
    138.60x = 18,190.66
  5. Step 5: Solve for x
    x = 18,190.66/138.60
  6. Step 6: Final answer
    x = 131.25

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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.