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Finding the Fourth Proportional to 51.83, 71.48 and 42.03

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Solution

The fourth proportional to 51.83, 71.48 and 42.03 is: 57.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.83 : 71.48 = 42.03 : x
  2. Step 2: Convert to fraction form
    51.83/71.48 = 42.03/x
  3. Step 3: Cross multiply
    51.83x = 71.48 × 42.03
  4. Step 4: Simplify right side
    51.83x = 3,004.30
  5. Step 5: Solve for x
    x = 3,004.30/51.83
  6. Step 6: Final answer
    x = 57.96

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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.