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Finding the Fourth Proportional to 103.54, 142.86 and 59.88

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Solution

The fourth proportional to 103.54, 142.86 and 59.88 is: 82.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.54 : 142.86 = 59.88 : x
  2. Step 2: Convert to fraction form
    103.54/142.86 = 59.88/x
  3. Step 3: Cross multiply
    103.54x = 142.86 × 59.88
  4. Step 4: Simplify right side
    103.54x = 8,554.46
  5. Step 5: Solve for x
    x = 8,554.46/103.54
  6. Step 6: Final answer
    x = 82.62

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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.