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Finding the Fourth Proportional to 25.29, 37.80 and 22.77

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Solution

The fourth proportional to 25.29, 37.80 and 22.77 is: 34.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.29 : 37.80 = 22.77 : x
  2. Step 2: Convert to fraction form
    25.29/37.80 = 22.77/x
  3. Step 3: Cross multiply
    25.29x = 37.80 × 22.77
  4. Step 4: Simplify right side
    25.29x = 860.71
  5. Step 5: Solve for x
    x = 860.71/25.29
  6. Step 6: Final answer
    x = 34.03

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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.