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Finding the Fourth Proportional to 23.19, 32.00 and 13.35

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Solution

The fourth proportional to 23.19, 32.00 and 13.35 is: 18.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.19 : 32.00 = 13.35 : x
  2. Step 2: Convert to fraction form
    23.19/32.00 = 13.35/x
  3. Step 3: Cross multiply
    23.19x = 32.00 × 13.35
  4. Step 4: Simplify right side
    23.19x = 427.17
  5. Step 5: Solve for x
    x = 427.17/23.19
  6. Step 6: Final answer
    x = 18.42

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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.