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Finding the Fourth Proportional to 103.14, 154.71 and 77.49

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Solution

The fourth proportional to 103.14, 154.71 and 77.49 is: 116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.14 : 154.71 = 77.49 : x
  2. Step 2: Convert to fraction form
    103.14/154.71 = 77.49/x
  3. Step 3: Cross multiply
    103.14x = 154.71 × 77.49
  4. Step 4: Simplify right side
    103.14x = 11,988.48
  5. Step 5: Solve for x
    x = 11,988.48/103.14
  6. Step 6: Final answer
    x = 116.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.