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Finding the Fourth Proportional to 153.57, 211.64 and 109.83

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Solution

The fourth proportional to 153.57, 211.64 and 109.83 is: 151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.57 : 211.64 = 109.83 : x
  2. Step 2: Convert to fraction form
    153.57/211.64 = 109.83/x
  3. Step 3: Cross multiply
    153.57x = 211.64 × 109.83
  4. Step 4: Simplify right side
    153.57x = 23,243.87
  5. Step 5: Solve for x
    x = 23,243.87/153.57
  6. Step 6: Final answer
    x = 151.36

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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.