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Finding the Fourth Proportional to 32.77, 48.80 and 30.88

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Solution

The fourth proportional to 32.77, 48.80 and 30.88 is: 45.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.77 : 48.80 = 30.88 : x
  2. Step 2: Convert to fraction form
    32.77/48.80 = 30.88/x
  3. Step 3: Cross multiply
    32.77x = 48.80 × 30.88
  4. Step 4: Simplify right side
    32.77x = 1,507.08
  5. Step 5: Solve for x
    x = 1,507.08/32.77
  6. Step 6: Final answer
    x = 45.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.