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Finding the Fourth Proportional to 102.61, 141.42 and 78.04

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Solution

The fourth proportional to 102.61, 141.42 and 78.04 is: 107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.61 : 141.42 = 78.04 : x
  2. Step 2: Convert to fraction form
    102.61/141.42 = 78.04/x
  3. Step 3: Cross multiply
    102.61x = 141.42 × 78.04
  4. Step 4: Simplify right side
    102.61x = 11,036.42
  5. Step 5: Solve for x
    x = 11,036.42/102.61
  6. Step 6: Final answer
    x = 107.56

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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.