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Finding the Fourth Proportional to 36.98, 51 and 24.02

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Solution

The fourth proportional to 36.98, 51 and 24.02 is: 33.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.98 : 51 = 24.02 : x
  2. Step 2: Convert to fraction form
    36.98/51 = 24.02/x
  3. Step 3: Cross multiply
    36.98x = 51 × 24.02
  4. Step 4: Simplify right side
    36.98x = 1,225.02
  5. Step 5: Solve for x
    x = 1,225.02/36.98
  6. Step 6: Final answer
    x = 33.13

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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.