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Finding the Fourth Proportional to 139.48, 192.42 and 95.74

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Solution

The fourth proportional to 139.48, 192.42 and 95.74 is: 132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.48 : 192.42 = 95.74 : x
  2. Step 2: Convert to fraction form
    139.48/192.42 = 95.74/x
  3. Step 3: Cross multiply
    139.48x = 192.42 × 95.74
  4. Step 4: Simplify right side
    139.48x = 18,422.29
  5. Step 5: Solve for x
    x = 18,422.29/139.48
  6. Step 6: Final answer
    x = 132.08

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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.