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Finding the Fourth Proportional to 152.96, 229.37 and 61.63

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Solution

The fourth proportional to 152.96, 229.37 and 61.63 is: 92.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.96 : 229.37 = 61.63 : x
  2. Step 2: Convert to fraction form
    152.96/229.37 = 61.63/x
  3. Step 3: Cross multiply
    152.96x = 229.37 × 61.63
  4. Step 4: Simplify right side
    152.96x = 14,135.45
  5. Step 5: Solve for x
    x = 14,135.45/152.96
  6. Step 6: Final answer
    x = 92.42

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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.