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Finding the Fourth Proportional to 55.47, 76.57 and 36.07

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Solution

The fourth proportional to 55.47, 76.57 and 36.07 is: 49.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.47 : 76.57 = 36.07 : x
  2. Step 2: Convert to fraction form
    55.47/76.57 = 36.07/x
  3. Step 3: Cross multiply
    55.47x = 76.57 × 36.07
  4. Step 4: Simplify right side
    55.47x = 2,761.32
  5. Step 5: Solve for x
    x = 2,761.32/55.47
  6. Step 6: Final answer
    x = 49.78

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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.