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Finding the Fourth Proportional to 84.02, 115.92 and 47.16

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Solution

The fourth proportional to 84.02, 115.92 and 47.16 is: 65.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.02 : 115.92 = 47.16 : x
  2. Step 2: Convert to fraction form
    84.02/115.92 = 47.16/x
  3. Step 3: Cross multiply
    84.02x = 115.92 × 47.16
  4. Step 4: Simplify right side
    84.02x = 5,466.39
  5. Step 5: Solve for x
    x = 5,466.39/84.02
  6. Step 6: Final answer
    x = 65.06

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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.