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Finding the Fourth Proportional to 23.52, 35.07 and 20.16

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Solution

The fourth proportional to 23.52, 35.07 and 20.16 is: 30.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.52 : 35.07 = 20.16 : x
  2. Step 2: Convert to fraction form
    23.52/35.07 = 20.16/x
  3. Step 3: Cross multiply
    23.52x = 35.07 × 20.16
  4. Step 4: Simplify right side
    23.52x = 707.01
  5. Step 5: Solve for x
    x = 707.01/23.52
  6. Step 6: Final answer
    x = 30.06

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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.