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Finding the Fourth Proportional to 32.01, 48.03 and 23.01

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Solution

The fourth proportional to 32.01, 48.03 and 23.01 is: 34.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.01 : 48.03 = 23.01 : x
  2. Step 2: Convert to fraction form
    32.01/48.03 = 23.01/x
  3. Step 3: Cross multiply
    32.01x = 48.03 × 23.01
  4. Step 4: Simplify right side
    32.01x = 1,105.23
  5. Step 5: Solve for x
    x = 1,105.23/32.01
  6. Step 6: Final answer
    x = 34.53

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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.