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Finding the Fourth Proportional to 23.69, 32.48 and 23.01

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Solution

The fourth proportional to 23.69, 32.48 and 23.01 is: 31.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.69 : 32.48 = 23.01 : x
  2. Step 2: Convert to fraction form
    23.69/32.48 = 23.01/x
  3. Step 3: Cross multiply
    23.69x = 32.48 × 23.01
  4. Step 4: Simplify right side
    23.69x = 747.25
  5. Step 5: Solve for x
    x = 747.25/23.69
  6. Step 6: Final answer
    x = 31.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.