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Finding the Fourth Proportional to 140.59, 211.02 and 106.23

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Solution

The fourth proportional to 140.59, 211.02 and 106.23 is: 159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.59 : 211.02 = 106.23 : x
  2. Step 2: Convert to fraction form
    140.59/211.02 = 106.23/x
  3. Step 3: Cross multiply
    140.59x = 211.02 × 106.23
  4. Step 4: Simplify right side
    140.59x = 22,416.65
  5. Step 5: Solve for x
    x = 22,416.65/140.59
  6. Step 6: Final answer
    x = 159.45

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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.