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Finding the Fourth Proportional to 71.03, 97.97 and 46.46

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Solution

The fourth proportional to 71.03, 97.97 and 46.46 is: 64.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.03 : 97.97 = 46.46 : x
  2. Step 2: Convert to fraction form
    71.03/97.97 = 46.46/x
  3. Step 3: Cross multiply
    71.03x = 97.97 × 46.46
  4. Step 4: Simplify right side
    71.03x = 4,551.31
  5. Step 5: Solve for x
    x = 4,551.31/71.03
  6. Step 6: Final answer
    x = 64.08

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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.