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Finding the Fourth Proportional to 234.34, 351.55 and 106.02

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Solution

The fourth proportional to 234.34, 351.55 and 106.02 is: 159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.34 : 351.55 = 106.02 : x
  2. Step 2: Convert to fraction form
    234.34/351.55 = 106.02/x
  3. Step 3: Cross multiply
    234.34x = 351.55 × 106.02
  4. Step 4: Simplify right side
    234.34x = 37,271.33
  5. Step 5: Solve for x
    x = 37,271.33/234.34
  6. Step 6: Final answer
    x = 159.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.