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Finding the Fourth Proportional to 70.85, 97.66 and 48.97

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Solution

The fourth proportional to 70.85, 97.66 and 48.97 is: 67.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.85 : 97.66 = 48.97 : x
  2. Step 2: Convert to fraction form
    70.85/97.66 = 48.97/x
  3. Step 3: Cross multiply
    70.85x = 97.66 × 48.97
  4. Step 4: Simplify right side
    70.85x = 4,782.17
  5. Step 5: Solve for x
    x = 4,782.17/70.85
  6. Step 6: Final answer
    x = 67.50

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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.