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Finding the Fourth Proportional to 32.02, 47.98 and 23.02

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Solution

The fourth proportional to 32.02, 47.98 and 23.02 is: 34.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.02 : 47.98 = 23.02 : x
  2. Step 2: Convert to fraction form
    32.02/47.98 = 23.02/x
  3. Step 3: Cross multiply
    32.02x = 47.98 × 23.02
  4. Step 4: Simplify right side
    32.02x = 1,104.50
  5. Step 5: Solve for x
    x = 1,104.50/32.02
  6. Step 6: Final answer
    x = 34.49

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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.