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Finding the Fourth Proportional to 152.22, 210.18 and 107.96

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Solution

The fourth proportional to 152.22, 210.18 and 107.96 is: 149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.22 : 210.18 = 107.96 : x
  2. Step 2: Convert to fraction form
    152.22/210.18 = 107.96/x
  3. Step 3: Cross multiply
    152.22x = 210.18 × 107.96
  4. Step 4: Simplify right side
    152.22x = 22,691.03
  5. Step 5: Solve for x
    x = 22,691.03/152.22
  6. Step 6: Final answer
    x = 149.07

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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.