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Finding the Fourth Proportional to 103.07, 142.19 and 59.40

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Solution

The fourth proportional to 103.07, 142.19 and 59.40 is: 81.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.07 : 142.19 = 59.40 : x
  2. Step 2: Convert to fraction form
    103.07/142.19 = 59.40/x
  3. Step 3: Cross multiply
    103.07x = 142.19 × 59.40
  4. Step 4: Simplify right side
    103.07x = 8,446.09
  5. Step 5: Solve for x
    x = 8,446.09/103.07
  6. Step 6: Final answer
    x = 81.95

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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.