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Finding the Fourth Proportional to 102.38, 141.35 and 94.28

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Solution

The fourth proportional to 102.38, 141.35 and 94.28 is: 130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.38 : 141.35 = 94.28 : x
  2. Step 2: Convert to fraction form
    102.38/141.35 = 94.28/x
  3. Step 3: Cross multiply
    102.38x = 141.35 × 94.28
  4. Step 4: Simplify right side
    102.38x = 13,325.30
  5. Step 5: Solve for x
    x = 13,325.30/102.38
  6. Step 6: Final answer
    x = 130.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.