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Finding the Fourth Proportional to 152.96, 229.17 and 61.59

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Solution

The fourth proportional to 152.96, 229.17 and 61.59 is: 92.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.96 : 229.17 = 61.59 : x
  2. Step 2: Convert to fraction form
    152.96/229.17 = 61.59/x
  3. Step 3: Cross multiply
    152.96x = 229.17 × 61.59
  4. Step 4: Simplify right side
    152.96x = 14,115.67
  5. Step 5: Solve for x
    x = 14,115.67/152.96
  6. Step 6: Final answer
    x = 92.29

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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.