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Finding the Fourth Proportional to 102.02, 140.87 and 73

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Solution

The fourth proportional to 102.02, 140.87 and 73 is: 100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.02 : 140.87 = 73 : x
  2. Step 2: Convert to fraction form
    102.02/140.87 = 73/x
  3. Step 3: Cross multiply
    102.02x = 140.87 × 73
  4. Step 4: Simplify right side
    102.02x = 10,283.51
  5. Step 5: Solve for x
    x = 10,283.51/102.02
  6. Step 6: Final answer
    x = 100.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.