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Finding the Fourth Proportional to 25.88, 35.76 and 24.63

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Solution

The fourth proportional to 25.88, 35.76 and 24.63 is: 34.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.88 : 35.76 = 24.63 : x
  2. Step 2: Convert to fraction form
    25.88/35.76 = 24.63/x
  3. Step 3: Cross multiply
    25.88x = 35.76 × 24.63
  4. Step 4: Simplify right side
    25.88x = 880.77
  5. Step 5: Solve for x
    x = 880.77/25.88
  6. Step 6: Final answer
    x = 34.03

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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.