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Finding the Fourth Proportional to 23.60, 33.10 and 23.60

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Solution

The fourth proportional to 23.60, 33.10 and 23.60 is: 33.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.60 : 33.10 = 23.60 : x
  2. Step 2: Convert to fraction form
    23.60/33.10 = 23.60/x
  3. Step 3: Cross multiply
    23.60x = 33.10 × 23.60
  4. Step 4: Simplify right side
    23.60x = 781.16
  5. Step 5: Solve for x
    x = 781.16/23.60
  6. Step 6: Final answer
    x = 33.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.