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Finding the Fourth Proportional to 103.21, 153.94 and 100.18

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Solution

The fourth proportional to 103.21, 153.94 and 100.18 is: 149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.21 : 153.94 = 100.18 : x
  2. Step 2: Convert to fraction form
    103.21/153.94 = 100.18/x
  3. Step 3: Cross multiply
    103.21x = 153.94 × 100.18
  4. Step 4: Simplify right side
    103.21x = 15,421.71
  5. Step 5: Solve for x
    x = 15,421.71/103.21
  6. Step 6: Final answer
    x = 149.42

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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.