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Finding the Fourth Proportional to 55.46, 76.50 and 40.88

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Solution

The fourth proportional to 55.46, 76.50 and 40.88 is: 56.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.46 : 76.50 = 40.88 : x
  2. Step 2: Convert to fraction form
    55.46/76.50 = 40.88/x
  3. Step 3: Cross multiply
    55.46x = 76.50 × 40.88
  4. Step 4: Simplify right side
    55.46x = 3,126.94
  5. Step 5: Solve for x
    x = 3,126.94/55.46
  6. Step 6: Final answer
    x = 56.39

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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.