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Finding the Fourth Proportional to 55.52, 76.64 and 41.07

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Solution

The fourth proportional to 55.52, 76.64 and 41.07 is: 56.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.52 : 76.64 = 41.07 : x
  2. Step 2: Convert to fraction form
    55.52/76.64 = 41.07/x
  3. Step 3: Cross multiply
    55.52x = 76.64 × 41.07
  4. Step 4: Simplify right side
    55.52x = 3,147.60
  5. Step 5: Solve for x
    x = 3,147.60/55.52
  6. Step 6: Final answer
    x = 56.69

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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.