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Finding the Fourth Proportional to 102.02, 152.60 and 81.76

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Solution

The fourth proportional to 102.02, 152.60 and 81.76 is: 122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.02 : 152.60 = 81.76 : x
  2. Step 2: Convert to fraction form
    102.02/152.60 = 81.76/x
  3. Step 3: Cross multiply
    102.02x = 152.60 × 81.76
  4. Step 4: Simplify right side
    102.02x = 12,476.58
  5. Step 5: Solve for x
    x = 12,476.58/102.02
  6. Step 6: Final answer
    x = 122.30

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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.