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Finding the Fourth Proportional to 102.35, 141.26 and 69.62

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Solution

The fourth proportional to 102.35, 141.26 and 69.62 is: 96.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.35 : 141.26 = 69.62 : x
  2. Step 2: Convert to fraction form
    102.35/141.26 = 69.62/x
  3. Step 3: Cross multiply
    102.35x = 141.26 × 69.62
  4. Step 4: Simplify right side
    102.35x = 9,833.47
  5. Step 5: Solve for x
    x = 9,833.47/102.35
  6. Step 6: Final answer
    x = 96.07

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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.