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Finding the Fourth Proportional to 140.70, 211.06 and 48.14

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Solution

The fourth proportional to 140.70, 211.06 and 48.14 is: 72.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.70 : 211.06 = 48.14 : x
  2. Step 2: Convert to fraction form
    140.70/211.06 = 48.14/x
  3. Step 3: Cross multiply
    140.70x = 211.06 × 48.14
  4. Step 4: Simplify right side
    140.70x = 10,161.14
  5. Step 5: Solve for x
    x = 10,161.14/140.70
  6. Step 6: Final answer
    x = 72.22

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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.