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Finding the Fourth Proportional to 23.46, 32.48 and 23.00

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Solution

The fourth proportional to 23.46, 32.48 and 23.00 is: 31.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.46 : 32.48 = 23.00 : x
  2. Step 2: Convert to fraction form
    23.46/32.48 = 23.00/x
  3. Step 3: Cross multiply
    23.46x = 32.48 × 23.00
  4. Step 4: Simplify right side
    23.46x = 746.85
  5. Step 5: Solve for x
    x = 746.85/23.46
  6. Step 6: Final answer
    x = 31.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.