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Finding the Fourth Proportional to 32.10, 47.93 and 25.61

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Solution

The fourth proportional to 32.10, 47.93 and 25.61 is: 38.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.10 : 47.93 = 25.61 : x
  2. Step 2: Convert to fraction form
    32.10/47.93 = 25.61/x
  3. Step 3: Cross multiply
    32.10x = 47.93 × 25.61
  4. Step 4: Simplify right side
    32.10x = 1,227.49
  5. Step 5: Solve for x
    x = 1,227.49/32.10
  6. Step 6: Final answer
    x = 38.24

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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.