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Finding the Fourth Proportional to 22.98, 32.00 and 22.98

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Solution

The fourth proportional to 22.98, 32.00 and 22.98 is: 32.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.98 : 32.00 = 22.98 : x
  2. Step 2: Convert to fraction form
    22.98/32.00 = 22.98/x
  3. Step 3: Cross multiply
    22.98x = 32.00 × 22.98
  4. Step 4: Simplify right side
    22.98x = 735.37
  5. Step 5: Solve for x
    x = 735.37/22.98
  6. Step 6: Final answer
    x = 32.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.