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Finding the Fourth Proportional to 152.72, 229.12 and 75.74

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Solution

The fourth proportional to 152.72, 229.12 and 75.74 is: 113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.72 : 229.12 = 75.74 : x
  2. Step 2: Convert to fraction form
    152.72/229.12 = 75.74/x
  3. Step 3: Cross multiply
    152.72x = 229.12 × 75.74
  4. Step 4: Simplify right side
    152.72x = 17,353.55
  5. Step 5: Solve for x
    x = 17,353.55/152.72
  6. Step 6: Final answer
    x = 113.63

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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.