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Finding the Fourth Proportional to 102.62, 141.57 and 63.83

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Solution

The fourth proportional to 102.62, 141.57 and 63.83 is: 88.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.62 : 141.57 = 63.83 : x
  2. Step 2: Convert to fraction form
    102.62/141.57 = 63.83/x
  3. Step 3: Cross multiply
    102.62x = 141.57 × 63.83
  4. Step 4: Simplify right side
    102.62x = 9,036.41
  5. Step 5: Solve for x
    x = 9,036.41/102.62
  6. Step 6: Final answer
    x = 88.06

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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.