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Finding the Fourth Proportional to 37.89, 52.31 and 24.93

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Solution

The fourth proportional to 37.89, 52.31 and 24.93 is: 34.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.89 : 52.31 = 24.93 : x
  2. Step 2: Convert to fraction form
    37.89/52.31 = 24.93/x
  3. Step 3: Cross multiply
    37.89x = 52.31 × 24.93
  4. Step 4: Simplify right side
    37.89x = 1,303.96
  5. Step 5: Solve for x
    x = 1,303.96/37.89
  6. Step 6: Final answer
    x = 34.41

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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.