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Finding the Fourth Proportional to 102.03, 152.82 and 83.91

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Solution

The fourth proportional to 102.03, 152.82 and 83.91 is: 125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.03 : 152.82 = 83.91 : x
  2. Step 2: Convert to fraction form
    102.03/152.82 = 83.91/x
  3. Step 3: Cross multiply
    102.03x = 152.82 × 83.91
  4. Step 4: Simplify right side
    102.03x = 12,823.13
  5. Step 5: Solve for x
    x = 12,823.13/102.03
  6. Step 6: Final answer
    x = 125.68

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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.