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Finding the Fourth Proportional to 92.50, 127.62 and 55.65

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Solution

The fourth proportional to 92.50, 127.62 and 55.65 is: 76.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.50 : 127.62 = 55.65 : x
  2. Step 2: Convert to fraction form
    92.50/127.62 = 55.65/x
  3. Step 3: Cross multiply
    92.50x = 127.62 × 55.65
  4. Step 4: Simplify right side
    92.50x = 7,102.05
  5. Step 5: Solve for x
    x = 7,102.05/92.50
  6. Step 6: Final answer
    x = 76.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.