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Finding the Fourth Proportional to 25.02, 37.70 and 24.48

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Solution

The fourth proportional to 25.02, 37.70 and 24.48 is: 36.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.02 : 37.70 = 24.48 : x
  2. Step 2: Convert to fraction form
    25.02/37.70 = 24.48/x
  3. Step 3: Cross multiply
    25.02x = 37.70 × 24.48
  4. Step 4: Simplify right side
    25.02x = 922.96
  5. Step 5: Solve for x
    x = 922.96/25.02
  6. Step 6: Final answer
    x = 36.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.