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Finding the Fourth Proportional to 70.48, 97.14 and 48.52

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Solution

The fourth proportional to 70.48, 97.14 and 48.52 is: 66.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.48 : 97.14 = 48.52 : x
  2. Step 2: Convert to fraction form
    70.48/97.14 = 48.52/x
  3. Step 3: Cross multiply
    70.48x = 97.14 × 48.52
  4. Step 4: Simplify right side
    70.48x = 4,713.23
  5. Step 5: Solve for x
    x = 4,713.23/70.48
  6. Step 6: Final answer
    x = 66.87

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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.