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Finding the Fourth Proportional to 102, 140.74 and 63.18

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Solution

The fourth proportional to 102, 140.74 and 63.18 is: 87.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 140.74 = 63.18 : x
  2. Step 2: Convert to fraction form
    102/140.74 = 63.18/x
  3. Step 3: Cross multiply
    102x = 140.74 × 63.18
  4. Step 4: Simplify right side
    102x = 8,891.95
  5. Step 5: Solve for x
    x = 8,891.95/102
  6. Step 6: Final answer
    x = 87.18

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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.