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Finding the Fourth Proportional to 74.42, 110.82 and 70.46

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Solution

The fourth proportional to 74.42, 110.82 and 70.46 is: 104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.42 : 110.82 = 70.46 : x
  2. Step 2: Convert to fraction form
    74.42/110.82 = 70.46/x
  3. Step 3: Cross multiply
    74.42x = 110.82 × 70.46
  4. Step 4: Simplify right side
    74.42x = 7,808.02
  5. Step 5: Solve for x
    x = 7,808.02/74.42
  6. Step 6: Final answer
    x = 104.92

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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.