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Finding the Fourth Proportional to 32.47, 48.96 and 29.97

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Solution

The fourth proportional to 32.47, 48.96 and 29.97 is: 45.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.47 : 48.96 = 29.97 : x
  2. Step 2: Convert to fraction form
    32.47/48.96 = 29.97/x
  3. Step 3: Cross multiply
    32.47x = 48.96 × 29.97
  4. Step 4: Simplify right side
    32.47x = 1,467.33
  5. Step 5: Solve for x
    x = 1,467.33/32.47
  6. Step 6: Final answer
    x = 45.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.