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Finding the Fourth Proportional to 48.31, 66.64 and 32.77

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Solution

The fourth proportional to 48.31, 66.64 and 32.77 is: 45.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.31 : 66.64 = 32.77 : x
  2. Step 2: Convert to fraction form
    48.31/66.64 = 32.77/x
  3. Step 3: Cross multiply
    48.31x = 66.64 × 32.77
  4. Step 4: Simplify right side
    48.31x = 2,183.79
  5. Step 5: Solve for x
    x = 2,183.79/48.31
  6. Step 6: Final answer
    x = 45.20

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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.