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Finding the Fourth Proportional to 140.19, 210.12 and 99.69

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Solution

The fourth proportional to 140.19, 210.12 and 99.69 is: 149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.19 : 210.12 = 99.69 : x
  2. Step 2: Convert to fraction form
    140.19/210.12 = 99.69/x
  3. Step 3: Cross multiply
    140.19x = 210.12 × 99.69
  4. Step 4: Simplify right side
    140.19x = 20,946.86
  5. Step 5: Solve for x
    x = 20,946.86/140.19
  6. Step 6: Final answer
    x = 149.42

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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.