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Finding the Fourth Proportional to 70.95, 97.97 and 47.69

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Solution

The fourth proportional to 70.95, 97.97 and 47.69 is: 65.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.95 : 97.97 = 47.69 : x
  2. Step 2: Convert to fraction form
    70.95/97.97 = 47.69/x
  3. Step 3: Cross multiply
    70.95x = 97.97 × 47.69
  4. Step 4: Simplify right side
    70.95x = 4,671.46
  5. Step 5: Solve for x
    x = 4,671.46/70.95
  6. Step 6: Final answer
    x = 65.84

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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.