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Finding the Fourth Proportional to 102.02, 140.94 and 82.58

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Solution

The fourth proportional to 102.02, 140.94 and 82.58 is: 114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.02 : 140.94 = 82.58 : x
  2. Step 2: Convert to fraction form
    102.02/140.94 = 82.58/x
  3. Step 3: Cross multiply
    102.02x = 140.94 × 82.58
  4. Step 4: Simplify right side
    102.02x = 11,638.83
  5. Step 5: Solve for x
    x = 11,638.83/102.02
  6. Step 6: Final answer
    x = 114.08

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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.