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Finding the Fourth Proportional to 32.09, 48.12 and 25.29

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Solution

The fourth proportional to 32.09, 48.12 and 25.29 is: 37.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.09 : 48.12 = 25.29 : x
  2. Step 2: Convert to fraction form
    32.09/48.12 = 25.29/x
  3. Step 3: Cross multiply
    32.09x = 48.12 × 25.29
  4. Step 4: Simplify right side
    32.09x = 1,216.95
  5. Step 5: Solve for x
    x = 1,216.95/32.09
  6. Step 6: Final answer
    x = 37.93

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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.