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Finding the Fourth Proportional to 25.08, 37.42 and 24.50

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Solution

The fourth proportional to 25.08, 37.42 and 24.50 is: 36.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.08 : 37.42 = 24.50 : x
  2. Step 2: Convert to fraction form
    25.08/37.42 = 24.50/x
  3. Step 3: Cross multiply
    25.08x = 37.42 × 24.50
  4. Step 4: Simplify right side
    25.08x = 916.79
  5. Step 5: Solve for x
    x = 916.79/25.08
  6. Step 6: Final answer
    x = 36.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.