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Finding the Fourth Proportional to 153.26, 211.40 and 100.82

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Solution

The fourth proportional to 153.26, 211.40 and 100.82 is: 139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.26 : 211.40 = 100.82 : x
  2. Step 2: Convert to fraction form
    153.26/211.40 = 100.82/x
  3. Step 3: Cross multiply
    153.26x = 211.40 × 100.82
  4. Step 4: Simplify right side
    153.26x = 21,313.35
  5. Step 5: Solve for x
    x = 21,313.35/153.26
  6. Step 6: Final answer
    x = 139.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.