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Finding the Fourth Proportional to 23.52, 35.14 and 18.00

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Solution

The fourth proportional to 23.52, 35.14 and 18.00 is: 26.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.52 : 35.14 = 18.00 : x
  2. Step 2: Convert to fraction form
    23.52/35.14 = 18.00/x
  3. Step 3: Cross multiply
    23.52x = 35.14 × 18.00
  4. Step 4: Simplify right side
    23.52x = 632.30
  5. Step 5: Solve for x
    x = 632.30/23.52
  6. Step 6: Final answer
    x = 26.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.