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Finding the Fourth Proportional to 102.06, 152.93 and 81.84

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Solution

The fourth proportional to 102.06, 152.93 and 81.84 is: 122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 152.93 = 81.84 : x
  2. Step 2: Convert to fraction form
    102.06/152.93 = 81.84/x
  3. Step 3: Cross multiply
    102.06x = 152.93 × 81.84
  4. Step 4: Simplify right side
    102.06x = 12,515.79
  5. Step 5: Solve for x
    x = 12,515.79/102.06
  6. Step 6: Final answer
    x = 122.63

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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.