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Finding the Fourth Proportional to 102.14, 140.71 and 95.90

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Solution

The fourth proportional to 102.14, 140.71 and 95.90 is: 132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.14 : 140.71 = 95.90 : x
  2. Step 2: Convert to fraction form
    102.14/140.71 = 95.90/x
  3. Step 3: Cross multiply
    102.14x = 140.71 × 95.90
  4. Step 4: Simplify right side
    102.14x = 13,494.09
  5. Step 5: Solve for x
    x = 13,494.09/102.14
  6. Step 6: Final answer
    x = 132.11

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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.