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Finding the Fourth Proportional to 102.02, 152.76 and 81.80

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Solution

The fourth proportional to 102.02, 152.76 and 81.80 is: 122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.02 : 152.76 = 81.80 : x
  2. Step 2: Convert to fraction form
    102.02/152.76 = 81.80/x
  3. Step 3: Cross multiply
    102.02x = 152.76 × 81.80
  4. Step 4: Simplify right side
    102.02x = 12,495.77
  5. Step 5: Solve for x
    x = 12,495.77/102.02
  6. Step 6: Final answer
    x = 122.48

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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.