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Finding the Fourth Proportional to 102.30, 141 and 84.84

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Solution

The fourth proportional to 102.30, 141 and 84.84 is: 116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.30 : 141 = 84.84 : x
  2. Step 2: Convert to fraction form
    102.30/141 = 84.84/x
  3. Step 3: Cross multiply
    102.30x = 141 × 84.84
  4. Step 4: Simplify right side
    102.30x = 11,962.44
  5. Step 5: Solve for x
    x = 11,962.44/102.30
  6. Step 6: Final answer
    x = 116.93

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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.