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Finding the Fourth Proportional to 152.15, 227.93 and 106.34

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Solution

The fourth proportional to 152.15, 227.93 and 106.34 is: 159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.15 : 227.93 = 106.34 : x
  2. Step 2: Convert to fraction form
    152.15/227.93 = 106.34/x
  3. Step 3: Cross multiply
    152.15x = 227.93 × 106.34
  4. Step 4: Simplify right side
    152.15x = 24,236.40
  5. Step 5: Solve for x
    x = 24,236.40/152.15
  6. Step 6: Final answer
    x = 159.30

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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.