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Finding the Fourth Proportional to 70.12, 104.08 and 65.62

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Solution

The fourth proportional to 70.12, 104.08 and 65.62 is: 97.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.12 : 104.08 = 65.62 : x
  2. Step 2: Convert to fraction form
    70.12/104.08 = 65.62/x
  3. Step 3: Cross multiply
    70.12x = 104.08 × 65.62
  4. Step 4: Simplify right side
    70.12x = 6,829.73
  5. Step 5: Solve for x
    x = 6,829.73/70.12
  6. Step 6: Final answer
    x = 97.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.