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Finding the Fourth Proportional to 32.68, 48.91 and 23

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Solution

The fourth proportional to 32.68, 48.91 and 23 is: 34.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.68 : 48.91 = 23 : x
  2. Step 2: Convert to fraction form
    32.68/48.91 = 23/x
  3. Step 3: Cross multiply
    32.68x = 48.91 × 23
  4. Step 4: Simplify right side
    32.68x = 1,124.93
  5. Step 5: Solve for x
    x = 1,124.93/32.68
  6. Step 6: Final answer
    x = 34.43

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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.