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Finding the Fourth Proportional to 103.29, 154.91 and 59.96

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Solution

The fourth proportional to 103.29, 154.91 and 59.96 is: 89.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.29 : 154.91 = 59.96 : x
  2. Step 2: Convert to fraction form
    103.29/154.91 = 59.96/x
  3. Step 3: Cross multiply
    103.29x = 154.91 × 59.96
  4. Step 4: Simplify right side
    103.29x = 9,287.33
  5. Step 5: Solve for x
    x = 9,287.33/103.29
  6. Step 6: Final answer
    x = 89.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.