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Finding the Fourth Proportional to 152.82, 229.30 and 61.49

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Solution

The fourth proportional to 152.82, 229.30 and 61.49 is: 92.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.82 : 229.30 = 61.49 : x
  2. Step 2: Convert to fraction form
    152.82/229.30 = 61.49/x
  3. Step 3: Cross multiply
    152.82x = 229.30 × 61.49
  4. Step 4: Simplify right side
    152.82x = 14,100.08
  5. Step 5: Solve for x
    x = 14,100.08/152.82
  6. Step 6: Final answer
    x = 92.27

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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.