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Finding the Fourth Proportional to 47.25, 65.22 and 30.01

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Solution

The fourth proportional to 47.25, 65.22 and 30.01 is: 41.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.25 : 65.22 = 30.01 : x
  2. Step 2: Convert to fraction form
    47.25/65.22 = 30.01/x
  3. Step 3: Cross multiply
    47.25x = 65.22 × 30.01
  4. Step 4: Simplify right side
    47.25x = 1,957.10
  5. Step 5: Solve for x
    x = 1,957.10/47.25
  6. Step 6: Final answer
    x = 41.42

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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.