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Finding the Fourth Proportional to 109.59, 151.23 and 70.78

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Solution

The fourth proportional to 109.59, 151.23 and 70.78 is: 97.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.59 : 151.23 = 70.78 : x
  2. Step 2: Convert to fraction form
    109.59/151.23 = 70.78/x
  3. Step 3: Cross multiply
    109.59x = 151.23 × 70.78
  4. Step 4: Simplify right side
    109.59x = 10,703.68
  5. Step 5: Solve for x
    x = 10,703.68/109.59
  6. Step 6: Final answer
    x = 97.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.