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Finding the Fourth Proportional to 51.13, 76.63 and 24.02

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Solution

The fourth proportional to 51.13, 76.63 and 24.02 is: 35.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.13 : 76.63 = 24.02 : x
  2. Step 2: Convert to fraction form
    51.13/76.63 = 24.02/x
  3. Step 3: Cross multiply
    51.13x = 76.63 × 24.02
  4. Step 4: Simplify right side
    51.13x = 1,840.21
  5. Step 5: Solve for x
    x = 1,840.21/51.13
  6. Step 6: Final answer
    x = 35.99

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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.