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Finding the Fourth Proportional to 55.69, 76.80 and 36.00

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Solution

The fourth proportional to 55.69, 76.80 and 36.00 is: 49.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.69 : 76.80 = 36.00 : x
  2. Step 2: Convert to fraction form
    55.69/76.80 = 36.00/x
  3. Step 3: Cross multiply
    55.69x = 76.80 × 36.00
  4. Step 4: Simplify right side
    55.69x = 2,764.24
  5. Step 5: Solve for x
    x = 2,764.24/55.69
  6. Step 6: Final answer
    x = 49.64

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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.