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Finding the Fourth Proportional to 103.14, 142.26 and 77.04

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Solution

The fourth proportional to 103.14, 142.26 and 77.04 is: 106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.14 : 142.26 = 77.04 : x
  2. Step 2: Convert to fraction form
    103.14/142.26 = 77.04/x
  3. Step 3: Cross multiply
    103.14x = 142.26 × 77.04
  4. Step 4: Simplify right side
    103.14x = 10,959.71
  5. Step 5: Solve for x
    x = 10,959.71/103.14
  6. Step 6: Final answer
    x = 106.26

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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.