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Finding the Fourth Proportional to 102.57, 141.42 and 78.06

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Solution

The fourth proportional to 102.57, 141.42 and 78.06 is: 107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.57 : 141.42 = 78.06 : x
  2. Step 2: Convert to fraction form
    102.57/141.42 = 78.06/x
  3. Step 3: Cross multiply
    102.57x = 141.42 × 78.06
  4. Step 4: Simplify right side
    102.57x = 11,039.25
  5. Step 5: Solve for x
    x = 11,039.25/102.57
  6. Step 6: Final answer
    x = 107.63

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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.