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Finding the Fourth Proportional to 102.15, 153.91 and 82.33

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Solution

The fourth proportional to 102.15, 153.91 and 82.33 is: 124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.15 : 153.91 = 82.33 : x
  2. Step 2: Convert to fraction form
    102.15/153.91 = 82.33/x
  3. Step 3: Cross multiply
    102.15x = 153.91 × 82.33
  4. Step 4: Simplify right side
    102.15x = 12,671.41
  5. Step 5: Solve for x
    x = 12,671.41/102.15
  6. Step 6: Final answer
    x = 124.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.