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Finding the Fourth Proportional to 70.77, 97.70 and 48.98

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Solution

The fourth proportional to 70.77, 97.70 and 48.98 is: 67.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.77 : 97.70 = 48.98 : x
  2. Step 2: Convert to fraction form
    70.77/97.70 = 48.98/x
  3. Step 3: Cross multiply
    70.77x = 97.70 × 48.98
  4. Step 4: Simplify right side
    70.77x = 4,784.61
  5. Step 5: Solve for x
    x = 4,784.61/70.77
  6. Step 6: Final answer
    x = 67.61

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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.