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Finding the Fourth Proportional to 101.28, 151.88 and 72.40

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Solution

The fourth proportional to 101.28, 151.88 and 72.40 is: 108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.28 : 151.88 = 72.40 : x
  2. Step 2: Convert to fraction form
    101.28/151.88 = 72.40/x
  3. Step 3: Cross multiply
    101.28x = 151.88 × 72.40
  4. Step 4: Simplify right side
    101.28x = 10,996.11
  5. Step 5: Solve for x
    x = 10,996.11/101.28
  6. Step 6: Final answer
    x = 108.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.