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Finding the Fourth Proportional to 109.70, 151.34 and 72.35

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Solution

The fourth proportional to 109.70, 151.34 and 72.35 is: 99.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.70 : 151.34 = 72.35 : x
  2. Step 2: Convert to fraction form
    109.70/151.34 = 72.35/x
  3. Step 3: Cross multiply
    109.70x = 151.34 × 72.35
  4. Step 4: Simplify right side
    109.70x = 10,949.45
  5. Step 5: Solve for x
    x = 10,949.45/109.70
  6. Step 6: Final answer
    x = 99.81

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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.