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Finding the Fourth Proportional to 152.02, 227.90 and 106.40

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Solution

The fourth proportional to 152.02, 227.90 and 106.40 is: 159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.02 : 227.90 = 106.40 : x
  2. Step 2: Convert to fraction form
    152.02/227.90 = 106.40/x
  3. Step 3: Cross multiply
    152.02x = 227.90 × 106.40
  4. Step 4: Simplify right side
    152.02x = 24,248.56
  5. Step 5: Solve for x
    x = 24,248.56/152.02
  6. Step 6: Final answer
    x = 159.51

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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.