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Finding the Fourth Proportional to 55.39, 76.46 and 40.88

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Solution

The fourth proportional to 55.39, 76.46 and 40.88 is: 56.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.39 : 76.46 = 40.88 : x
  2. Step 2: Convert to fraction form
    55.39/76.46 = 40.88/x
  3. Step 3: Cross multiply
    55.39x = 76.46 × 40.88
  4. Step 4: Simplify right side
    55.39x = 3,125.60
  5. Step 5: Solve for x
    x = 3,125.60/55.39
  6. Step 6: Final answer
    x = 56.43

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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.