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Finding the Fourth Proportional to 55.50, 76.53 and 41.64

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Solution

The fourth proportional to 55.50, 76.53 and 41.64 is: 57.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.50 : 76.53 = 41.64 : x
  2. Step 2: Convert to fraction form
    55.50/76.53 = 41.64/x
  3. Step 3: Cross multiply
    55.50x = 76.53 × 41.64
  4. Step 4: Simplify right side
    55.50x = 3,186.71
  5. Step 5: Solve for x
    x = 3,186.71/55.50
  6. Step 6: Final answer
    x = 57.42

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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.