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Finding the Fourth Proportional to 152.96, 229.14 and 75.92

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Solution

The fourth proportional to 152.96, 229.14 and 75.92 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.96 : 229.14 = 75.92 : x
  2. Step 2: Convert to fraction form
    152.96/229.14 = 75.92/x
  3. Step 3: Cross multiply
    152.96x = 229.14 × 75.92
  4. Step 4: Simplify right side
    152.96x = 17,395.16
  5. Step 5: Solve for x
    x = 17,395.16/152.96
  6. Step 6: Final answer
    x = 113.73

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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.