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Finding the Fourth Proportional to 103.84, 142.58 and 97.18

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Solution

The fourth proportional to 103.84, 142.58 and 97.18 is: 133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.84 : 142.58 = 97.18 : x
  2. Step 2: Convert to fraction form
    103.84/142.58 = 97.18/x
  3. Step 3: Cross multiply
    103.84x = 142.58 × 97.18
  4. Step 4: Simplify right side
    103.84x = 13,855.92
  5. Step 5: Solve for x
    x = 13,855.92/103.84
  6. Step 6: Final answer
    x = 133.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.