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Finding the Fourth Proportional to 155.27, 232.74 and 52.52

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Solution

The fourth proportional to 155.27, 232.74 and 52.52 is: 78.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.27 : 232.74 = 52.52 : x
  2. Step 2: Convert to fraction form
    155.27/232.74 = 52.52/x
  3. Step 3: Cross multiply
    155.27x = 232.74 × 52.52
  4. Step 4: Simplify right side
    155.27x = 12,222.83
  5. Step 5: Solve for x
    x = 12,222.83/155.27
  6. Step 6: Final answer
    x = 78.72

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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.