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Finding the Fourth Proportional to 70.98, 105.96 and 64.92

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Solution

The fourth proportional to 70.98, 105.96 and 64.92 is: 96.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.98 : 105.96 = 64.92 : x
  2. Step 2: Convert to fraction form
    70.98/105.96 = 64.92/x
  3. Step 3: Cross multiply
    70.98x = 105.96 × 64.92
  4. Step 4: Simplify right side
    70.98x = 6,878.92
  5. Step 5: Solve for x
    x = 6,878.92/70.98
  6. Step 6: Final answer
    x = 96.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.