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Finding the Fourth Proportional to 152.16, 209.84 and 108.48

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Solution

The fourth proportional to 152.16, 209.84 and 108.48 is: 149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.16 : 209.84 = 108.48 : x
  2. Step 2: Convert to fraction form
    152.16/209.84 = 108.48/x
  3. Step 3: Cross multiply
    152.16x = 209.84 × 108.48
  4. Step 4: Simplify right side
    152.16x = 22,763.44
  5. Step 5: Solve for x
    x = 22,763.44/152.16
  6. Step 6: Final answer
    x = 149.60

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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.