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Finding the Fourth Proportional to 103.84, 154.44 and 101.68

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Solution

The fourth proportional to 103.84, 154.44 and 101.68 is: 151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.84 : 154.44 = 101.68 : x
  2. Step 2: Convert to fraction form
    103.84/154.44 = 101.68/x
  3. Step 3: Cross multiply
    103.84x = 154.44 × 101.68
  4. Step 4: Simplify right side
    103.84x = 15,703.46
  5. Step 5: Solve for x
    x = 15,703.46/103.84
  6. Step 6: Final answer
    x = 151.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.