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Finding the Fourth Proportional to 25.24, 37.83 and 16.10

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Solution

The fourth proportional to 25.24, 37.83 and 16.10 is: 24.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.24 : 37.83 = 16.10 : x
  2. Step 2: Convert to fraction form
    25.24/37.83 = 16.10/x
  3. Step 3: Cross multiply
    25.24x = 37.83 × 16.10
  4. Step 4: Simplify right side
    25.24x = 608.96
  5. Step 5: Solve for x
    x = 608.96/25.24
  6. Step 6: Final answer
    x = 24.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.