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Finding the Fourth Proportional to 153.12, 209.82 and 138.54

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Solution

The fourth proportional to 153.12, 209.82 and 138.54 is: 189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.12 : 209.82 = 138.54 : x
  2. Step 2: Convert to fraction form
    153.12/209.82 = 138.54/x
  3. Step 3: Cross multiply
    153.12x = 209.82 × 138.54
  4. Step 4: Simplify right side
    153.12x = 29,068.46
  5. Step 5: Solve for x
    x = 29,068.46/153.12
  6. Step 6: Final answer
    x = 189.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.