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Finding the Fourth Proportional to 55.64, 76.80 and 33.84

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Solution

The fourth proportional to 55.64, 76.80 and 33.84 is: 46.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.64 : 76.80 = 33.84 : x
  2. Step 2: Convert to fraction form
    55.64/76.80 = 33.84/x
  3. Step 3: Cross multiply
    55.64x = 76.80 × 33.84
  4. Step 4: Simplify right side
    55.64x = 2,598.91
  5. Step 5: Solve for x
    x = 2,598.91/55.64
  6. Step 6: Final answer
    x = 46.71

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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.