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Finding the Fourth Proportional to 71.01, 97.92 and 46.08

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Solution

The fourth proportional to 71.01, 97.92 and 46.08 is: 63.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.01 : 97.92 = 46.08 : x
  2. Step 2: Convert to fraction form
    71.01/97.92 = 46.08/x
  3. Step 3: Cross multiply
    71.01x = 97.92 × 46.08
  4. Step 4: Simplify right side
    71.01x = 4,512.42
  5. Step 5: Solve for x
    x = 4,512.42/71.01
  6. Step 6: Final answer
    x = 63.54

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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.