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Finding the Fourth Proportional to 153.86, 212.27 and 117.09

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Solution

The fourth proportional to 153.86, 212.27 and 117.09 is: 161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.86 : 212.27 = 117.09 : x
  2. Step 2: Convert to fraction form
    153.86/212.27 = 117.09/x
  3. Step 3: Cross multiply
    153.86x = 212.27 × 117.09
  4. Step 4: Simplify right side
    153.86x = 24,854.11
  5. Step 5: Solve for x
    x = 24,854.11/153.86
  6. Step 6: Final answer
    x = 161.54

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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.