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Finding the Fourth Proportional to 102.06, 140.45 and 101.43

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Solution

The fourth proportional to 102.06, 140.45 and 101.43 is: 139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 140.45 = 101.43 : x
  2. Step 2: Convert to fraction form
    102.06/140.45 = 101.43/x
  3. Step 3: Cross multiply
    102.06x = 140.45 × 101.43
  4. Step 4: Simplify right side
    102.06x = 14,245.34
  5. Step 5: Solve for x
    x = 14,245.34/102.06
  6. Step 6: Final answer
    x = 139.58

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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.