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Finding the Fourth Proportional to 145.33, 217.37 and 106.72

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Solution

The fourth proportional to 145.33, 217.37 and 106.72 is: 159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.33 : 217.37 = 106.72 : x
  2. Step 2: Convert to fraction form
    145.33/217.37 = 106.72/x
  3. Step 3: Cross multiply
    145.33x = 217.37 × 106.72
  4. Step 4: Simplify right side
    145.33x = 23,197.45
  5. Step 5: Solve for x
    x = 23,197.45/145.33
  6. Step 6: Final answer
    x = 159.62

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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.