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Finding the Fourth Proportional to 47.33, 65.35 and 34.22

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Solution

The fourth proportional to 47.33, 65.35 and 34.22 is: 47.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.33 : 65.35 = 34.22 : x
  2. Step 2: Convert to fraction form
    47.33/65.35 = 34.22/x
  3. Step 3: Cross multiply
    47.33x = 65.35 × 34.22
  4. Step 4: Simplify right side
    47.33x = 2,235.86
  5. Step 5: Solve for x
    x = 2,235.86/47.33
  6. Step 6: Final answer
    x = 47.24

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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.