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Finding the Fourth Proportional to 102.91, 141.85 and 75.23

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Solution

The fourth proportional to 102.91, 141.85 and 75.23 is: 103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.91 : 141.85 = 75.23 : x
  2. Step 2: Convert to fraction form
    102.91/141.85 = 75.23/x
  3. Step 3: Cross multiply
    102.91x = 141.85 × 75.23
  4. Step 4: Simplify right side
    102.91x = 10,671.00
  5. Step 5: Solve for x
    x = 10,671.00/102.91
  6. Step 6: Final answer
    x = 103.70

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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.