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Finding the Fourth Proportional to 55.42, 83.10 and 40.96

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Solution

The fourth proportional to 55.42, 83.10 and 40.96 is: 61.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.42 : 83.10 = 40.96 : x
  2. Step 2: Convert to fraction form
    55.42/83.10 = 40.96/x
  3. Step 3: Cross multiply
    55.42x = 83.10 × 40.96
  4. Step 4: Simplify right side
    55.42x = 3,403.78
  5. Step 5: Solve for x
    x = 3,403.78/55.42
  6. Step 6: Final answer
    x = 61.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.