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Finding the Fourth Proportional to 152.76, 229.09 and 55.24

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Solution

The fourth proportional to 152.76, 229.09 and 55.24 is: 82.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.76 : 229.09 = 55.24 : x
  2. Step 2: Convert to fraction form
    152.76/229.09 = 55.24/x
  3. Step 3: Cross multiply
    152.76x = 229.09 × 55.24
  4. Step 4: Simplify right side
    152.76x = 12,654.93
  5. Step 5: Solve for x
    x = 12,654.93/152.76
  6. Step 6: Final answer
    x = 82.84

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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.