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Finding the Fourth Proportional to 102.31, 141.32 and 95.02

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Solution

The fourth proportional to 102.31, 141.32 and 95.02 is: 131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.31 : 141.32 = 95.02 : x
  2. Step 2: Convert to fraction form
    102.31/141.32 = 95.02/x
  3. Step 3: Cross multiply
    102.31x = 141.32 × 95.02
  4. Step 4: Simplify right side
    102.31x = 13,428.11
  5. Step 5: Solve for x
    x = 13,428.11/102.31
  6. Step 6: Final answer
    x = 131.25

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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.