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Finding the Fourth Proportional to 70.45, 106.09 and 61.54

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Solution

The fourth proportional to 70.45, 106.09 and 61.54 is: 92.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.45 : 106.09 = 61.54 : x
  2. Step 2: Convert to fraction form
    70.45/106.09 = 61.54/x
  3. Step 3: Cross multiply
    70.45x = 106.09 × 61.54
  4. Step 4: Simplify right side
    70.45x = 6,528.78
  5. Step 5: Solve for x
    x = 6,528.78/70.45
  6. Step 6: Final answer
    x = 92.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.