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Finding the Fourth Proportional to 152.22, 229.16 and 106.90

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Solution

The fourth proportional to 152.22, 229.16 and 106.90 is: 160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.22 : 229.16 = 106.90 : x
  2. Step 2: Convert to fraction form
    152.22/229.16 = 106.90/x
  3. Step 3: Cross multiply
    152.22x = 229.16 × 106.90
  4. Step 4: Simplify right side
    152.22x = 24,497.20
  5. Step 5: Solve for x
    x = 24,497.20/152.22
  6. Step 6: Final answer
    x = 160.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.