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Finding the Fourth Proportional to 140.82, 210.92 and 102.14

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Solution

The fourth proportional to 140.82, 210.92 and 102.14 is: 152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.82 : 210.92 = 102.14 : x
  2. Step 2: Convert to fraction form
    140.82/210.92 = 102.14/x
  3. Step 3: Cross multiply
    140.82x = 210.92 × 102.14
  4. Step 4: Simplify right side
    140.82x = 21,543.37
  5. Step 5: Solve for x
    x = 21,543.37/140.82
  6. Step 6: Final answer
    x = 152.99

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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.