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Finding the Fourth Proportional to 153.39, 211.68 and 83.45

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Solution

The fourth proportional to 153.39, 211.68 and 83.45 is: 115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.39 : 211.68 = 83.45 : x
  2. Step 2: Convert to fraction form
    153.39/211.68 = 83.45/x
  3. Step 3: Cross multiply
    153.39x = 211.68 × 83.45
  4. Step 4: Simplify right side
    153.39x = 17,664.28
  5. Step 5: Solve for x
    x = 17,664.28/153.39
  6. Step 6: Final answer
    x = 115.16

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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.