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Finding the Fourth Proportional to 152.08, 209.48 and 117.04

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Solution

The fourth proportional to 152.08, 209.48 and 117.04 is: 161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.08 : 209.48 = 117.04 : x
  2. Step 2: Convert to fraction form
    152.08/209.48 = 117.04/x
  3. Step 3: Cross multiply
    152.08x = 209.48 × 117.04
  4. Step 4: Simplify right side
    152.08x = 24,517.54
  5. Step 5: Solve for x
    x = 24,517.54/152.08
  6. Step 6: Final answer
    x = 161.21

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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.