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Finding the Fourth Proportional to 153.09, 211.37 and 109.35

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Solution

The fourth proportional to 153.09, 211.37 and 109.35 is: 150.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.09 : 211.37 = 109.35 : x
  2. Step 2: Convert to fraction form
    153.09/211.37 = 109.35/x
  3. Step 3: Cross multiply
    153.09x = 211.37 × 109.35
  4. Step 4: Simplify right side
    153.09x = 23,112.76
  5. Step 5: Solve for x
    x = 23,112.76/153.09
  6. Step 6: Final answer
    x = 150.98

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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.