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Finding the Fourth Proportional to 152.03, 227.75 and 93.98

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Solution

The fourth proportional to 152.03, 227.75 and 93.98 is: 140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.03 : 227.75 = 93.98 : x
  2. Step 2: Convert to fraction form
    152.03/227.75 = 93.98/x
  3. Step 3: Cross multiply
    152.03x = 227.75 × 93.98
  4. Step 4: Simplify right side
    152.03x = 21,402.34
  5. Step 5: Solve for x
    x = 21,402.34/152.03
  6. Step 6: Final answer
    x = 140.78

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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.