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Finding the Fourth Proportional to 102.30, 141.32 and 71.30

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Solution

The fourth proportional to 102.30, 141.32 and 71.30 is: 98.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.30 : 141.32 = 71.30 : x
  2. Step 2: Convert to fraction form
    102.30/141.32 = 71.30/x
  3. Step 3: Cross multiply
    102.30x = 141.32 × 71.30
  4. Step 4: Simplify right side
    102.30x = 10,076.12
  5. Step 5: Solve for x
    x = 10,076.12/102.30
  6. Step 6: Final answer
    x = 98.50

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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.