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Finding the Fourth Proportional to 55.42, 83.08 and 29.72

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Solution

The fourth proportional to 55.42, 83.08 and 29.72 is: 44.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.42 : 83.08 = 29.72 : x
  2. Step 2: Convert to fraction form
    55.42/83.08 = 29.72/x
  3. Step 3: Cross multiply
    55.42x = 83.08 × 29.72
  4. Step 4: Simplify right side
    55.42x = 2,469.14
  5. Step 5: Solve for x
    x = 2,469.14/55.42
  6. Step 6: Final answer
    x = 44.55

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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.