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Finding the Fourth Proportional to 25.17, 37.52 and 23.82

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Solution

The fourth proportional to 25.17, 37.52 and 23.82 is: 35.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.17 : 37.52 = 23.82 : x
  2. Step 2: Convert to fraction form
    25.17/37.52 = 23.82/x
  3. Step 3: Cross multiply
    25.17x = 37.52 × 23.82
  4. Step 4: Simplify right side
    25.17x = 893.61
  5. Step 5: Solve for x
    x = 893.61/25.17
  6. Step 6: Final answer
    x = 35.50

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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.