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Finding the Fourth Proportional to 70.39, 97.12 and 47.08

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Solution

The fourth proportional to 70.39, 97.12 and 47.08 is: 64.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.39 : 97.12 = 47.08 : x
  2. Step 2: Convert to fraction form
    70.39/97.12 = 47.08/x
  3. Step 3: Cross multiply
    70.39x = 97.12 × 47.08
  4. Step 4: Simplify right side
    70.39x = 4,572.33
  5. Step 5: Solve for x
    x = 4,572.33/70.39
  6. Step 6: Final answer
    x = 64.96

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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.