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Finding the Fourth Proportional to 70.42, 104.79 and 66.10

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Solution

The fourth proportional to 70.42, 104.79 and 66.10 is: 98.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.42 : 104.79 = 66.10 : x
  2. Step 2: Convert to fraction form
    70.42/104.79 = 66.10/x
  3. Step 3: Cross multiply
    70.42x = 104.79 × 66.10
  4. Step 4: Simplify right side
    70.42x = 6,926.62
  5. Step 5: Solve for x
    x = 6,926.62/70.42
  6. Step 6: Final answer
    x = 98.36

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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.