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Finding the Fourth Proportional to 55.65, 76.74 and 48.27

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Solution

The fourth proportional to 55.65, 76.74 and 48.27 is: 66.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.65 : 76.74 = 48.27 : x
  2. Step 2: Convert to fraction form
    55.65/76.74 = 48.27/x
  3. Step 3: Cross multiply
    55.65x = 76.74 × 48.27
  4. Step 4: Simplify right side
    55.65x = 3,704.24
  5. Step 5: Solve for x
    x = 3,704.24/55.65
  6. Step 6: Final answer
    x = 66.56

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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.