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Finding the Fourth Proportional to 102.55, 141.48 and 65.73

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Solution

The fourth proportional to 102.55, 141.48 and 65.73 is: 90.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.55 : 141.48 = 65.73 : x
  2. Step 2: Convert to fraction form
    102.55/141.48 = 65.73/x
  3. Step 3: Cross multiply
    102.55x = 141.48 × 65.73
  4. Step 4: Simplify right side
    102.55x = 9,299.48
  5. Step 5: Solve for x
    x = 9,299.48/102.55
  6. Step 6: Final answer
    x = 90.68

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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.