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Finding the Fourth Proportional to 140.76, 210.84 and 116.76

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Solution

The fourth proportional to 140.76, 210.84 and 116.76 is: 174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.76 : 210.84 = 116.76 : x
  2. Step 2: Convert to fraction form
    140.76/210.84 = 116.76/x
  3. Step 3: Cross multiply
    140.76x = 210.84 × 116.76
  4. Step 4: Simplify right side
    140.76x = 24,617.68
  5. Step 5: Solve for x
    x = 24,617.68/140.76
  6. Step 6: Final answer
    x = 174.89

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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.