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Finding the Fourth Proportional to 48.51, 66.77 and 40.65

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Solution

The fourth proportional to 48.51, 66.77 and 40.65 is: 55.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.51 : 66.77 = 40.65 : x
  2. Step 2: Convert to fraction form
    48.51/66.77 = 40.65/x
  3. Step 3: Cross multiply
    48.51x = 66.77 × 40.65
  4. Step 4: Simplify right side
    48.51x = 2,713.66
  5. Step 5: Solve for x
    x = 2,713.66/48.51
  6. Step 6: Final answer
    x = 55.95

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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.