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Finding the Fourth Proportional to 102.55, 141.64 and 74.87

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Solution

The fourth proportional to 102.55, 141.64 and 74.87 is: 103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.55 : 141.64 = 74.87 : x
  2. Step 2: Convert to fraction form
    102.55/141.64 = 74.87/x
  3. Step 3: Cross multiply
    102.55x = 141.64 × 74.87
  4. Step 4: Simplify right side
    102.55x = 10,604.21
  5. Step 5: Solve for x
    x = 10,604.21/102.55
  6. Step 6: Final answer
    x = 103.41

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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.